46817880864 has 192 divisors, whose sum is σ = 131584352256. Its totient is φ = 14524452864.

The previous prime is 46817880859. The next prime is 46817880937. The reversal of 46817880864 is 46808871864.

It is a junction number, because it is equal to n+sod(n) for n = 46817880798 and 46817880807.

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, 77129649 + ... + 77130255.

It is an arithmetic number, because the mean of its divisors is an integer number (685335168).

Almost surely, 2^46817880864 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 46817880864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65792176128).

46817880864 is an abundant number, since it is smaller than the sum of its proper divisors (84766471392).

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

46817880864 is a wasteful number, since it uses less digits than its factorization.

46817880864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 46817880864 in words is "forty-six billion, eight hundred seventeen million, eight hundred eighty thousand, eight hundred sixty-four".