47531408891904 has 1344 divisors, whose sum is σ = 168692998656000. Its totient is φ = 13364834402304.

The previous prime is 47531408891803. The next prime is 47531408891947. The reversal of 47531408891904 is 40919880413574.

47531408891904 is a `hidden beast` number, since 4 + 7 + 5 + 31 + 408 + 8 + 9 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45747265017 + ... + 45747266055.

It is an arithmetic number, because the mean of its divisors is an integer number (125515624000).

Almost surely, 2^{47531408891904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47531408891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84346499328000).

47531408891904 is an abundant number, since it is smaller than the sum of its proper divisors (121161589764096).

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

47531408891904 is an frugal number, since it uses more digits than its factorization.

47531408891904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 47531408891904 in words is "forty-seven trillion, five hundred thirty-one billion, four hundred eight million, eight hundred ninety-one thousand, nine hundred four".