45753990810528 has 768 divisors, whose sum is σ = 162187576750080. Its totient is φ = 10907003289600.

The previous prime is 45753990810449. The next prime is 45753990810551. The reversal of 45753990810528 is 82501809935754.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13009378626 + ... + 13009382142.

It is an arithmetic number, because the mean of its divisors is an integer number (211181740560).

Almost surely, 2^{45753990810528} is an apocalyptic number.

45753990810528 is a gapful number since it is divisible by the number (48) 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 45753990810528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81093788375040).

45753990810528 is an abundant number, since it is smaller than the sum of its proper divisors (116433585939552).

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

45753990810528 is a wasteful number, since it uses less digits than its factorization.

45753990810528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 45753990810528 in words is "forty-five trillion, seven hundred fifty-three billion, nine hundred ninety million, eight hundred ten thousand, five hundred twenty-eight".