45977976576 has 648 divisors, whose sum is σ = 164007698400. Its totient is φ = 12128403456.

The previous prime is 45977976559. The next prime is 45977976607. The reversal of 45977976576 is 67567977954.

It is a happy number.

45977976576 is a `hidden beast` number, since 45 + 9 + 7 + 7 + 9 + 7 + 6 + 576 = 666.

It is a super-2 number, since 2×45977976576² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308576950 + ... + 308577098.

It is an arithmetic number, because the mean of its divisors is an integer number (253098300).

Almost surely, 2^45977976576 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 45977976576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82003849200).

45977976576 is an abundant number, since it is smaller than the sum of its proper divisors (118029721824).

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

45977976576 is a wasteful number, since it uses less digits than its factorization.

45977976576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its digits is 700131600, while the sum is 72.

The spelling of 45977976576 in words is "forty-five billion, nine hundred seventy-seven million, nine hundred seventy-six thousand, five hundred seventy-six".