46869686732960 has 1152 divisors, whose sum is σ = 150820455582720. Its totient is φ = 13609470099456.

The previous prime is 46869686732887. The next prime is 46869686733029. The reversal of 46869686732960 is 6923768696864.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4702481897 + ... + 4702491863.

It is an arithmetic number, because the mean of its divisors is an integer number (130920534360).

Almost surely, 2^{46869686732960} is an apocalyptic number.

46869686732960 is a gapful number since it is divisible by the number (40) 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 46869686732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75410227791360).

46869686732960 is an abundant number, since it is smaller than the sum of its proper divisors (103950768849760).

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

46869686732960 is a wasteful number, since it uses less digits than its factorization.

46869686732960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 6772211712, while the sum is 80.

The spelling of 46869686732960 in words is "forty-six trillion, eight hundred sixty-nine billion, six hundred eighty-six million, seven hundred thirty-two thousand, nine hundred sixty".