45370905600 has 1056 divisors, whose sum is σ = 175445913600. Its totient is φ = 10262937600.

The previous prime is 45370905571. The next prime is 45370905649. The reversal of 45370905600 is 650907354.

It is a super-2 number, since 2×45370905600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 768998371 + ... + 768998429.

Almost surely, 2^45370905600 is an apocalyptic number.

45370905600 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 45370905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87722956800).

45370905600 is an abundant number, since it is smaller than the sum of its proper divisors (130075008000).

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

45370905600 is a wasteful number, since it uses less digits than its factorization.

45370905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 45370905600 in words is "forty-five billion, three hundred seventy million, nine hundred five thousand, six hundred".