45694152960 has 288 divisors, whose sum is σ = 150574448640. Its totient is φ = 11802599424.

The previous prime is 45694152953. The next prime is 45694152983. The reversal of 45694152960 is 6925149654.

It is a super-2 number, since 2×45694152960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20969151 + ... + 20971329.

Almost surely, 2^45694152960 is an apocalyptic number.

45694152960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45694152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75287224320).

45694152960 is an abundant number, since it is smaller than the sum of its proper divisors (104880295680).

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

45694152960 is a wasteful number, since it uses less digits than its factorization.

45694152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 45694152960 in words is "forty-five billion, six hundred ninety-four million, one hundred fifty-two thousand, nine hundred sixty".