46882729152000 has 2560 divisors, whose sum is σ = 202965295104000. Its totient is φ = 10447029043200.

The previous prime is 46882729151977. The next prime is 46882729152011. The reversal of 46882729152000 is 25192728864.

46882729152000 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 27 + 2 + 91 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127745855817 + ... + 127745856183.

It is an arithmetic number, because the mean of its divisors is an integer number (79283318400).

Almost surely, 2^{46882729152000} is an apocalyptic number.

46882729152000 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 46882729152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101482647552000).

46882729152000 is an abundant number, since it is smaller than the sum of its proper divisors (156082565952000).

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

46882729152000 is a wasteful number, since it uses less digits than its factorization.

46882729152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 46882729152000 in words is "forty-six trillion, eight hundred eighty-two billion, seven hundred twenty-nine million, one hundred fifty-two thousand".