47312112960000 has 2000 divisors, whose sum is σ = 203638308831936. Its totient is φ = 10708733952000.

The previous prime is 47312112959989. The next prime is 47312112960011. The reversal of 47312112960000 is 6921121374.

47312112960000 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 21 + 1 + 29 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47312112959989) and next prime (47312112960011).

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 19414078782 + ... + 19414081218.

Almost surely, 2^{47312112960000} is an apocalyptic number.

47312112960000 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 47312112960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101819154415968).

47312112960000 is an abundant number, since it is smaller than the sum of its proper divisors (156326195871936).

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

47312112960000 is an equidigital number, since it uses as much as digits as its factorization.

47312112960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 47312112960000 in words is "forty-seven trillion, three hundred twelve billion, one hundred twelve million, nine hundred sixty thousand".