45135821472 has 96 divisors (see below), whose sum is σ = 135440532864. Its totient is φ = 12892800000.

The previous prime is 45135821461. The next prime is 45135821539. The reversal of 45135821472 is 27412853154.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5305222 + ... + 5313722.

It is an arithmetic number, because the mean of its divisors is an integer number (1410838884).

Almost surely, 2^45135821472 is an apocalyptic number.

45135821472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45135821472 is an abundant number, since it is smaller than the sum of its proper divisors (90304711392).

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

45135821472 is a wasteful number, since it uses less digits than its factorization.

45135821472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16422 (or 16414 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The spelling of 45135821472 in words is "forty-five billion, one hundred thirty-five million, eight hundred twenty-one thousand, four hundred seventy-two".