45274605264 has 360 divisors, whose sum is σ = 154349683488. Its totient is φ = 12808938240.

The previous prime is 45274605217. The next prime is 45274605289. The reversal of 45274605264 is 46250647254.

45274605264 is a `hidden beast` number, since 4 + 52 + 74 + 6 + 0 + 526 + 4 = 666.

It is a super-2 number, since 2×45274605264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20383674 + ... + 20385894.

Almost surely, 2^45274605264 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 45274605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77174841744).

45274605264 is an abundant number, since it is smaller than the sum of its proper divisors (109075078224).

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

45274605264 is a wasteful number, since it uses less digits than its factorization.

45274605264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 45274605264 in words is "forty-five billion, two hundred seventy-four million, six hundred five thousand, two hundred sixty-four".