45445738770432 has 1664 divisors, whose sum is σ = 184995546193920. Its totient is φ = 10641569218560.

The previous prime is 45445738770361. The next prime is 45445738770449. The reversal of 45445738770432 is 23407783754454.

45445738770432 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 57 + 3 + 87 + 70 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 45445738770432.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4760206683 + ... + 4760216229.

Almost surely, 2^{45445738770432} is an apocalyptic number.

45445738770432 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 45445738770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92497773096960).

45445738770432 is an abundant number, since it is smaller than the sum of its proper divisors (139549807423488).

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

45445738770432 is a wasteful number, since it uses less digits than its factorization.

45445738770432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 63.

The spelling of 45445738770432 in words is "forty-five trillion, four hundred forty-five billion, seven hundred thirty-eight million, seven hundred seventy thousand, four hundred thirty-two".