47408999456 has 144 divisors (see below), whose sum is σ = 115714267200. Its totient is φ = 18721557504.

The previous prime is 47408999447. The next prime is 47408999461. The reversal of 47408999456 is 65499980474.

It is a super-2 number, since 2×47408999456² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47408999392 and 47408999401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38574650 + ... + 38575878.

It is an arithmetic number, because the mean of its divisors is an integer number (803571300).

Almost surely, 2^47408999456 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 47408999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57857133600).

47408999456 is an abundant number, since it is smaller than the sum of its proper divisors (68305267744).

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

47408999456 is a wasteful number, since it uses less digits than its factorization.

47408999456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 47408999456 in words is "forty-seven billion, four hundred eight million, nine hundred ninety-nine thousand, four hundred fifty-six".