45227355264 has 512 divisors, whose sum is σ = 169623552000. Its totient is φ = 11540828160.

The previous prime is 45227355263. The next prime is 45227355287. The reversal of 45227355264 is 46255372254.

45227355264 is a `hidden beast` number, since 4 + 5 + 22 + 73 + 552 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (45227355263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9747057 + ... + 9751695.

It is an arithmetic number, because the mean of its divisors is an integer number (331296000).

Almost surely, 2^45227355264 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 45227355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84811776000).

45227355264 is an abundant number, since it is smaller than the sum of its proper divisors (124396196736).

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

45227355264 is a wasteful number, since it uses less digits than its factorization.

45227355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4695 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The spelling of 45227355264 in words is "forty-five billion, two hundred twenty-seven million, three hundred fifty-five thousand, two hundred sixty-four".