45775602432 has 972 divisors, whose sum is σ = 172973835216. Its totient is φ = 11581194240.

The previous prime is 45775602401. The next prime is 45775602463. The reversal of 45775602432 is 23420657754.

45775602432 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 5 + 602 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (45775602401) and next prime (45775602463).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 750419682 + ... + 750419742.

Almost surely, 2^45775602432 is an apocalyptic number.

45775602432 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 45775602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486917608).

45775602432 is an abundant number, since it is smaller than the sum of its proper divisors (127198232784).

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

45775602432 is a wasteful number, since it uses less digits than its factorization.

45775602432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 45775602432 in words is "forty-five billion, seven hundred seventy-five million, six hundred two thousand, four hundred thirty-two".