45152665600 has 408 divisors, whose sum is σ = 133142970368. Its totient is φ = 14863564800.

The previous prime is 45152665573. The next prime is 45152665633. The reversal of 45152665600 is 656625154.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355532737 + ... + 355532863.

Almost surely, 2^45152665600 is an apocalyptic number.

45152665600 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 45152665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66571485184).

45152665600 is an abundant number, since it is smaller than the sum of its proper divisors (87990304768).

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

45152665600 is an equidigital number, since it uses as much as digits as its factorization.

45152665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 45152665600 in words is "forty-five billion, one hundred fifty-two million, six hundred sixty-five thousand, six hundred".