45356625372000 has 384 divisors, whose sum is σ = 150169205467008. Its totient is φ = 11966496768000.

The previous prime is 45356625371977. The next prime is 45356625372011. The reversal of 45356625372000 is 27352665354.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5951528190 + ... + 5951535810.

It is an arithmetic number, because the mean of its divisors is an integer number (391065639237).

Almost surely, 2^{45356625372000} is an apocalyptic number.

45356625372000 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 45356625372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75084602733504).

45356625372000 is an abundant number, since it is smaller than the sum of its proper divisors (104812580095008).

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

45356625372000 is a wasteful number, since it uses less digits than its factorization.

45356625372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 45356625372000 in words is "forty-five trillion, three hundred fifty-six billion, six hundred twenty-five million, three hundred seventy-two thousand".