46875967488000 has 2736 divisors, whose sum is σ = 207445115439744. Its totient is φ = 10345041100800.

The previous prime is 46875967487953. The next prime is 46875967488059. The reversal of 46875967488000 is 88476957864.

46875967488000 is a `hidden beast` number, since 4 + 6 + 87 + 5 + 9 + 67 + 488 + 0 + 0 + 0 = 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 46875967488000.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1616412671986 + ... + 1616412672014.

Almost surely, 2^{46875967488000} is an apocalyptic number.

46875967488000 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 46875967488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103722557719872).

46875967488000 is an abundant number, since it is smaller than the sum of its proper divisors (160569147951744).

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

46875967488000 is an frugal number, since it uses more digits than its factorization.

46875967488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 46875967488000 in words is "forty-six trillion, eight hundred seventy-five billion, nine hundred sixty-seven million, four hundred eighty-eight thousand".