46959863920992 has 960 divisors, whose sum is σ = 162831612303360. Its totient is φ = 13135559270400.

The previous prime is 46959863920973. The next prime is 46959863921017. The reversal of 46959863920992 is 29902936895964.

46959863920992 is a `hidden beast` number, since 4 + 69 + 5 + 9 + 86 + 392 + 0 + 9 + 92 = 666.

It is a super-2 number, since 2×46959863920992² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2127468868 + ... + 2127490940.

It is an arithmetic number, because the mean of its divisors is an integer number (169616262816).

Almost surely, 2^{46959863920992} 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 46959863920992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81415806151680).

46959863920992 is an abundant number, since it is smaller than the sum of its proper divisors (115871748382368).

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

46959863920992 is a wasteful number, since it uses less digits than its factorization.

46959863920992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22249 (or 22232 counting only the distinct ones).

The product of its (nonzero) digits is 4081466880, while the sum is 81.

The spelling of 46959863920992 in words is "forty-six trillion, nine hundred fifty-nine billion, eight hundred sixty-three million, nine hundred twenty thousand, nine hundred ninety-two".