45682430976 has 704 divisors, whose sum is σ = 169618677760. Its totient is φ = 11824496640.

The previous prime is 45682430947. The next prime is 45682430977. The reversal of 45682430976 is 67903428654.

45682430976 is a `hidden beast` number, since 4 + 568 + 2 + 4 + 3 + 0 + 9 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45682430977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168569721 + ... + 168569991.

Almost surely, 2^45682430976 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 45682430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84809338880).

45682430976 is an abundant number, since it is smaller than the sum of its proper divisors (123936246784).

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

45682430976 is a wasteful number, since it uses less digits than its factorization.

45682430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 45682430976 in words is "forty-five billion, six hundred eighty-two million, four hundred thirty thousand, nine hundred seventy-six".