46858768704000 has 2560 divisors, whose sum is σ = 196317446307840. Its totient is φ = 10915430400000.

The previous prime is 46858768703993. The next prime is 46858768704049. The reversal of 46858768704000 is 40786785864.

46858768704000 is a `hidden beast` number, since 4 + 6 + 8 + 587 + 6 + 8 + 7 + 0 + 40 + 0 + 0 = 666.

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

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, 165578687859 + ... + 165578688141.

It is an arithmetic number, because the mean of its divisors is an integer number (76686502464).

Almost surely, 2^{46858768704000} is an apocalyptic number.

46858768704000 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 46858768704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98158723153920).

46858768704000 is an abundant number, since it is smaller than the sum of its proper divisors (149458677603840).

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

46858768704000 is a wasteful number, since it uses less digits than its factorization.

46858768704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 46858768704000 in words is "forty-six trillion, eight hundred fifty-eight billion, seven hundred sixty-eight million, seven hundred four thousand".