45708067746432 has 4032 divisors, whose sum is σ = 189042725352960. Its totient is φ = 10753304739840.

The previous prime is 45708067746431. The next prime is 45708067746433. The reversal of 45708067746432 is 23464776080754.

45708067746432 is a `hidden beast` number, since 4 + 5 + 7 + 0 + 80 + 67 + 7 + 464 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (45708067746431) and next prime (45708067746433).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×45708067746432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45708067746432.

It is not an unprimeable number, because it can be changed into a prime (45708067746431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1235353182318 + ... + 1235353182354.

Almost surely, 2^{45708067746432} is an apocalyptic number.

45708067746432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45708067746432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94521362676480).

45708067746432 is an abundant number, since it is smaller than the sum of its proper divisors (143334657606528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45708067746432 is a wasteful number, since it uses less digits than its factorization.

45708067746432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 45708067746432 in words is "forty-five trillion, seven hundred eight billion, sixty-seven million, seven hundred forty-six thousand, four hundred thirty-two".