45125221360032 has 1152 divisors, whose sum is σ = 156861484416000. Its totient is φ = 12615394222080.

The previous prime is 45125221360031. The next prime is 45125221360033. The reversal of 45125221360032 is 23006312252154.

45125221360032 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 5 + 2 + 2 + 13 + 600 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (45125221360031) and next prime (45125221360033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45125221360031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11972728644 + ... + 11972732412.

It is an arithmetic number, because the mean of its divisors is an integer number (136164483000).

Almost surely, 2^{45125221360032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45125221360032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78430742208000).

45125221360032 is an abundant number, since it is smaller than the sum of its proper divisors (111736263055968).

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

45125221360032 is a wasteful number, since it uses less digits than its factorization.

45125221360032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45125221360032 in words is "forty-five trillion, one hundred twenty-five billion, two hundred twenty-one million, three hundred sixty thousand, thirty-two".