47113346160 has 480 divisors, whose sum is σ = 169889840640. Its totient is φ = 11678515200.

The previous prime is 47113346101. The next prime is 47113346177. The reversal of 47113346160 is 6164331174.

47113346160 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 3 + 34 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73499440 + ... + 73500080.

It is an arithmetic number, because the mean of its divisors is an integer number (353937168).

Almost surely, 2^47113346160 is an apocalyptic number.

47113346160 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 47113346160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84944920320).

47113346160 is an abundant number, since it is smaller than the sum of its proper divisors (122776494480).

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

47113346160 is a wasteful number, since it uses less digits than its factorization.

47113346160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 47113346160 in words is "forty-seven billion, one hundred thirteen million, three hundred forty-six thousand, one hundred sixty".