47079541813248 has 832 divisors, whose sum is σ = 176119385425920. Its totient is φ = 12109530267648.

The previous prime is 47079541813229. The next prime is 47079541813279. The reversal of 47079541813248 is 84231814597074.

47079541813248 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 9 + 541 + 81 + 3 + 2 + 4 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 302612536 + ... + 302768072.

Almost surely, 2^{47079541813248} is an apocalyptic number.

47079541813248 is a gapful number since it is divisible by the number (48) 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 47079541813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88059692712960).

47079541813248 is an abundant number, since it is smaller than the sum of its proper divisors (129039843612672).

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

47079541813248 is a wasteful number, since it uses less digits than its factorization.

47079541813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155617 (or 155589 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 47079541813248 in words is "forty-seven trillion, seventy-nine billion, five hundred forty-one million, eight hundred thirteen thousand, two hundred forty-eight".