46519908864 has 640 divisors, whose sum is σ = 156409989120. Its totient is φ = 12076646400.

The previous prime is 46519908863. The next prime is 46519908871. The reversal of 46519908864 is 46880991564.

It is a junction number, because it is equal to n+sod(n) for n = 46519908798 and 46519908807.

It is not an unprimeable number, because it can be changed into a prime (46519908863) 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, 296305074 + ... + 296305230.

It is an arithmetic number, because the mean of its divisors is an integer number (244390608).

Almost surely, 2^46519908864 is an apocalyptic number.

46519908864 is a gapful number since it is divisible by the number (44) 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 46519908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204994560).

46519908864 is an abundant number, since it is smaller than the sum of its proper divisors (109890080256).

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

46519908864 is a wasteful number, since it uses less digits than its factorization.

46519908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 46519908864 in words is "forty-six billion, five hundred nineteen million, nine hundred eight thousand, eight hundred sixty-four".