45556718976 has 256 divisors, whose sum is σ = 145146816000. Its totient is φ = 14023747584.

The previous prime is 45556718957. The next prime is 45556719037. The reversal of 45556718976 is 67981765554.

45556718976 is a `hidden beast` number, since 4 + 5 + 556 + 7 + 1 + 8 + 9 + 76 = 666.

It is a congruent number.

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, 2295271 + ... + 2315033.

It is an arithmetic number, because the mean of its divisors is an integer number (566979750).

Almost surely, 2^45556718976 is an apocalyptic number.

45556718976 is a gapful number since it is divisible by the number (46) 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 45556718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72573408000).

45556718976 is an abundant number, since it is smaller than the sum of its proper divisors (99590097024).

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

45556718976 is a wasteful number, since it uses less digits than its factorization.

45556718976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 19820 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 45556718976 in words is "forty-five billion, five hundred fifty-six million, seven hundred eighteen thousand, nine hundred seventy-six".