47864742912 has 330 divisors, whose sum is σ = 166283676702. Its totient is φ = 13674479616.

The previous prime is 47864742883. The next prime is 47864742931. The reversal of 47864742912 is 21924746874.

47864742912 is a `hidden beast` number, since 4 + 7 + 86 + 474 + 2 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43958992896 + 3905750016 = 209664^2 + 62496^2 .

It is a super-2 number, since 2×47864742912² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4058368 + ... + 4070144.

Almost surely, 2^47864742912 is an apocalyptic number.

47864742912 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 47864742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83141838351).

47864742912 is an abundant number, since it is smaller than the sum of its proper divisors (118418933790).

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

47864742912 is a wasteful number, since it uses less digits than its factorization.

47864742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11823 (or 11789 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 47864742912 in words is "forty-seven billion, eight hundred sixty-four million, seven hundred forty-two thousand, nine hundred twelve".