45489268656 has 160 divisors (see below), whose sum is σ = 141023960000. Its totient is φ = 13955991552.

The previous prime is 45489268651. The next prime is 45489268697. The reversal of 45489268656 is 65686298454.

45489268656 is a `hidden beast` number, since 4 + 5 + 489 + 26 + 86 + 56 = 666.

It is a super-3 number, since 3×45489268656³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45489268593 and 45489268602.

It is not an unprimeable number, because it can be changed into a prime (45489268651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948380 + ... + 1971588.

It is an arithmetic number, because the mean of its divisors is an integer number (881399750).

Almost surely, 2^45489268656 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 45489268656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70511980000).

45489268656 is an abundant number, since it is smaller than the sum of its proper divisors (95534691344).

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

45489268656 is a wasteful number, since it uses less digits than its factorization.

45489268656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23576 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 45489268656 in words is "forty-five billion, four hundred eighty-nine million, two hundred sixty-eight thousand, six hundred fifty-six".