47082357504 has 864 divisors, whose sum is σ = 179992350720. Its totient is φ = 11490066432.

The previous prime is 47082357467. The next prime is 47082357551. The reversal of 47082357504 is 40575328074.

47082357504 is a `hidden beast` number, since 4 + 70 + 8 + 2 + 3 + 575 + 0 + 4 = 666.

It is a super-2 number, since 2×47082357504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47082357504.

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, 211131537 + ... + 211131759.

It is an arithmetic number, because the mean of its divisors is an integer number (208324480).

Almost surely, 2^47082357504 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 47082357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89996175360).

47082357504 is an abundant number, since it is smaller than the sum of its proper divisors (132909993216).

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

47082357504 is a wasteful number, since it uses less digits than its factorization.

47082357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 47082357504 in words is "forty-seven billion, eighty-two million, three hundred fifty-seven thousand, five hundred four".