45129654160 has 20 divisors (see below), whose sum is σ = 104926446108. Its totient is φ = 18051861632.

The previous prime is 45129654151. The next prime is 45129654181. The reversal of 45129654160 is 6145692154.

It can be written as a sum of positive squares in 2 ways, for example, as 33288732304 + 11840921856 = 182452^2 + 108816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×45129654160³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282060259 + ... + 282060418.

Almost surely, 2^45129654160 is an apocalyptic number.

45129654160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45129654160 is an abundant number, since it is smaller than the sum of its proper divisors (59796791948).

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

45129654160 is a wasteful number, since it uses less digits than its factorization.

45129654160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564120690 (or 564120684 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 45129654160 in words is "forty-five billion, one hundred twenty-nine million, six hundred fifty-four thousand, one hundred sixty".