45393094656 has 960 divisors, whose sum is σ = 174033699840. Its totient is φ = 11466178560.

The previous prime is 45393094639. The next prime is 45393094661. The reversal of 45393094656 is 65649039354.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 467970000 + ... + 467970096.

It is an arithmetic number, because the mean of its divisors is an integer number (181285104).

Almost surely, 2^45393094656 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 45393094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87016849920).

45393094656 is an abundant number, since it is smaller than the sum of its proper divisors (128640605184).

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

45393094656 is a wasteful number, since it uses less digits than its factorization.

45393094656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 45393094656 in words is "forty-five billion, three hundred ninety-three million, ninety-four thousand, six hundred fifty-six".