46863793152000 has 2688 divisors, whose sum is σ = 195201898444800. Its totient is φ = 10705305600000.

The previous prime is 46863793151983. The next prime is 46863793152037. The reversal of 46863793152000 is 25139736864.

46863793152000 is a `hidden beast` number, since 4 + 6 + 86 + 3 + 7 + 9 + 31 + 520 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 235496447901 + ... + 235496448099.

It is a 1-persistent number, because it is pandigital, but 2⋅46863793152000 = 93727586304000 is not.

Almost surely, 2^{46863793152000} is an apocalyptic number.

46863793152000 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 46863793152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97600949222400).

46863793152000 is an abundant number, since it is smaller than the sum of its proper divisors (148338105292800).

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

46863793152000 is a wasteful number, since it uses less digits than its factorization.

46863793152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 46863793152000 in words is "forty-six trillion, eight hundred sixty-three billion, seven hundred ninety-three million, one hundred fifty-two thousand".