45753552672 has 96 divisors (see below), whose sum is σ = 122428563264. Its totient is φ = 14958720000.

The previous prime is 45753552589. The next prime is 45753552683. The reversal of 45753552672 is 27625535754.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015422 + ... + 1059522.

It is an arithmetic number, because the mean of its divisors is an integer number (1275297534).

Almost surely, 2^45753552672 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 45753552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61214281632).

45753552672 is an abundant number, since it is smaller than the sum of its proper divisors (76675010592).

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

45753552672 is a wasteful number, since it uses less digits than its factorization.

45753552672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44322 (or 44314 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 51.

The spelling of 45753552672 in words is "forty-five billion, seven hundred fifty-three million, five hundred fifty-two thousand, six hundred seventy-two".