46958972860800 has 3456 divisors, whose sum is σ = 227860772018880. Its totient is φ = 8960340787200.

The previous prime is 46958972860763. The next prime is 46958972860801. The reversal of 46958972860800 is 806827985964.

46958972860800 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 8 + 9 + 7 + 2 + 8 + 608 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46958972860801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 118284566202 + ... + 118284566598.

Almost surely, 2^{46958972860800} is an apocalyptic number.

46958972860800 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 46958972860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113930386009440).

46958972860800 is an abundant number, since it is smaller than the sum of its proper divisors (180901799158080).

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

46958972860800 is a wasteful number, since it uses less digits than its factorization.

46958972860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 46958972860800 in words is "forty-six trillion, nine hundred fifty-eight billion, nine hundred seventy-two million, eight hundred sixty thousand, eight hundred".