45521751956772 has 192 divisors, whose sum is σ = 133948522971648. Its totient is φ = 11710213632000.

The previous prime is 45521751956767. The next prime is 45521751956789. The reversal of 45521751956772 is 27765915712554.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197822022 + ... + 198052002.

It is an arithmetic number, because the mean of its divisors is an integer number (697648557144).

Almost surely, 2^{45521751956772} is an apocalyptic number.

45521751956772 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 45521751956772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66974261485824).

45521751956772 is an abundant number, since it is smaller than the sum of its proper divisors (88426771014876).

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

45521751956772 is a wasteful number, since it uses less digits than its factorization.

45521751956772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234470 (or 234468 counting only the distinct ones).

The product of its digits is 185220000, while the sum is 66.

The spelling of 45521751956772 in words is "forty-five trillion, five hundred twenty-one billion, seven hundred fifty-one million, nine hundred fifty-six thousand, seven hundred seventy-two".