47138159454624 has 432 divisors, whose sum is σ = 156948930186048. Its totient is φ = 13380532107264.

The previous prime is 47138159454601. The next prime is 47138159454703. The reversal of 47138159454624 is 42645495183174.

47138159454624 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 8 + 159 + 454 + 6 + 24 = 666.

It is a super-2 number, since 2×47138159454624² (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 6167490547 + ... + 6167498189.

It is an arithmetic number, because the mean of its divisors is an integer number (363307708764).

Almost surely, 2^{47138159454624} 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 47138159454624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78474465093024).

47138159454624 is an abundant number, since it is smaller than the sum of its proper divisors (109810770731424).

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

47138159454624 is a wasteful number, since it uses less digits than its factorization.

47138159454624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10439 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 47138159454624 in words is "forty-seven trillion, one hundred thirty-eight billion, one hundred fifty-nine million, four hundred fifty-four thousand, six hundred twenty-four".