46886611968 has 528 divisors, whose sum is σ = 164825422560. Its totient is φ = 13123289088.

The previous prime is 46886611931. The next prime is 46886611969. The reversal of 46886611968 is 86911668864.

46886611968 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 6 + 611 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46886611969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71801530 + ... + 71802182.

Almost surely, 2^46886611968 is an apocalyptic number.

46886611968 is a gapful number since it is divisible by the number (48) 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 46886611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82412711280).

46886611968 is an abundant number, since it is smaller than the sum of its proper divisors (117938810592).

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

46886611968 is a wasteful number, since it uses less digits than its factorization.

46886611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 718 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 46886611968 in words is "forty-six billion, eight hundred eighty-six million, six hundred eleven thousand, nine hundred sixty-eight".