46702660900896 has 2304 divisors, whose sum is σ = 195380816117760. Its totient is φ = 10186767360000.

The previous prime is 46702660900871. The next prime is 46702660900913. The reversal of 46702660900896 is 69800906620764.

46702660900896 is a `hidden beast` number, since 467 + 0 + 2 + 6 + 6 + 0 + 90 + 0 + 89 + 6 = 666.

It is a super-2 number, since 2×46702660900896² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12127409371 + ... + 12127413221.

It is an arithmetic number, because the mean of its divisors is an integer number (84800701440).

Almost surely, 2^{46702660900896} is an apocalyptic number.

46702660900896 is a gapful number since it is divisible by the number (46) 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 46702660900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97690408058880).

46702660900896 is an abundant number, since it is smaller than the sum of its proper divisors (148678155216864).

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

46702660900896 is a wasteful number, since it uses less digits than its factorization.

46702660900896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4011 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 46702660900896 in words is "forty-six trillion, seven hundred two billion, six hundred sixty million, nine hundred thousand, eight hundred ninety-six".