45647976875904 has 192 divisors, whose sum is σ = 141670162801440. Its totient is φ = 14024781508608.

The previous prime is 45647976875869. The next prime is 45647976875947. The reversal of 45647976875904 is 40957867974654.

45647976875904 is a `hidden beast` number, since 4 + 5 + 6 + 479 + 76 + 8 + 75 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7887589 + ... + 12389915.

Almost surely, 2^{45647976875904} 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 45647976875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70835081400720).

45647976875904 is an abundant number, since it is smaller than the sum of its proper divisors (96022185925536).

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

45647976875904 is a wasteful number, since it uses less digits than its factorization.

45647976875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503037 (or 4503022 counting only the distinct ones).

The product of its (nonzero) digits is 12802406400, while the sum is 81.

The spelling of 45647976875904 in words is "forty-five trillion, six hundred forty-seven billion, nine hundred seventy-six million, eight hundred seventy-five thousand, nine hundred four".