45887096618064 has 120 divisors (see below), whose sum is σ = 139179494402312. Its totient is φ = 14029175946240.

The previous prime is 45887096618059. The next prime is 45887096618071. The reversal of 45887096618064 is 46081669078854.

45887096618064 is a `hidden beast` number, since 458 + 8 + 7 + 0 + 96 + 6 + 1 + 80 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1483790400 + 45885612827664 = 38520^2 + 6773892^2 .

It is a super-2 number, since 2×45887096618064² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45887096617983 and 45887096618001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77770867 + ... + 78358674.

Almost surely, 2^{45887096618064} is an apocalyptic number.

It is an amenable number.

45887096618064 is an abundant number, since it is smaller than the sum of its proper divisors (93292397784248).

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

45887096618064 is a wasteful number, since it uses less digits than its factorization.

45887096618064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156129725 (or 156129716 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 45887096618064 in words is "forty-five trillion, eight hundred eighty-seven billion, ninety-six million, six hundred eighteen thousand, sixty-four".