45940930056 has 160 divisors (see below), whose sum is σ = 147154392000. Its totient is φ = 13117521024.

The previous prime is 45940930037. The next prime is 45940930099. The reversal of 45940930056 is 65003904954.

45940930056 is a `hidden beast` number, since 4 + 594 + 0 + 9 + 3 + 0 + 0 + 56 = 666.

It is a super-2 number, since 2×45940930056² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45940929993 and 45940930020.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11514910 + ... + 11518898.

It is an arithmetic number, because the mean of its divisors is an integer number (919714950).

Almost surely, 2^45940930056 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 45940930056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73577196000).

45940930056 is an abundant number, since it is smaller than the sum of its proper divisors (101213461944).

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

45940930056 is a wasteful number, since it uses less digits than its factorization.

45940930056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 45940930056 in words is "forty-five billion, nine hundred forty million, nine hundred thirty thousand, fifty-six".