46971665620992 has 1680 divisors, whose sum is σ = 175744697958720. Its totient is φ = 12203836047360.

The previous prime is 46971665620987. The next prime is 46971665621003. The reversal of 46971665620992 is 29902656617964.

46971665620992 is a `hidden beast` number, since 46 + 9 + 7 + 16 + 6 + 562 + 0 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46971665620992.

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 119 ways as a sum of consecutive naturals, for example, 75883142859 + ... + 75883143477.

Almost surely, 2^{46971665620992} is an apocalyptic number.

46971665620992 is a gapful number since it is divisible by the number (42) 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 46971665620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87872348979360).

46971665620992 is an abundant number, since it is smaller than the sum of its proper divisors (128773032337728).

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

46971665620992 is an equidigital number, since it uses as much as digits as its factorization.

46971665620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 46971665620992 in words is "forty-six trillion, nine hundred seventy-one billion, six hundred sixty-five million, six hundred twenty thousand, nine hundred ninety-two".