47500102656 has 264 divisors, whose sum is σ = 144297189504. Its totient is φ = 15028715520.

The previous prime is 47500102631. The next prime is 47500102681. The reversal of 47500102656 is 65620100574.

It is a happy number.

47500102656 is a `hidden beast` number, since 47 + 500 + 102 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (47500102631) and next prime (47500102681).

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

It is a self number, because there is not a number n which added to its sum of digits gives 47500102656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15140320 + ... + 15143456.

Almost surely, 2^47500102656 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 47500102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72148594752).

47500102656 is an abundant number, since it is smaller than the sum of its proper divisors (96797086848).

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

47500102656 is a wasteful number, since it uses less digits than its factorization.

47500102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 47500102656 in words is "forty-seven billion, five hundred million, one hundred two thousand, six hundred fifty-six".