45435386880 has 528 divisors, whose sum is σ = 172030535040. Its totient is φ = 11020271616.

The previous prime is 45435386879. The next prime is 45435386881. The reversal of 45435386880 is 8868353454.

45435386880 is a `hidden beast` number, since 4 + 5 + 43 + 538 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45435386879) and next prime (45435386881).

It is a super-2 number, since 2×45435386880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435386881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43729401 + ... + 43730439.

Almost surely, 2^45435386880 is an apocalyptic number.

45435386880 is a gapful number since it is divisible by the number (40) 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 45435386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86015267520).

45435386880 is an abundant number, since it is smaller than the sum of its proper divisors (126595148160).

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

45435386880 is a wasteful number, since it uses less digits than its factorization.

45435386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 45435386880 in words is "forty-five billion, four hundred thirty-five million, three hundred eighty-six thousand, eight hundred eighty".