47013120225792 has 480 divisors, whose sum is σ = 158744696153472. Its totient is φ = 13113974587392.

The previous prime is 47013120225791. The next prime is 47013120225809. The reversal of 47013120225792 is 29752202131074.

47013120225792 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 31 + 20 + 22 + 579 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (47013120225791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3685273878 + ... + 3685286634.

Almost surely, 2^{47013120225792} is an apocalyptic number.

47013120225792 is a gapful number since it is divisible by the number (42) 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 47013120225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79372348076736).

47013120225792 is an abundant number, since it is smaller than the sum of its proper divisors (111731575927680).

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

47013120225792 is a wasteful number, since it uses less digits than its factorization.

47013120225792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47013120225792 in words is "forty-seven trillion, thirteen billion, one hundred twenty million, two hundred twenty-five thousand, seven hundred ninety-two".