47804195710656 has 1344 divisors, whose sum is σ = 181521081630720. Its totient is φ = 11668478976000.

The previous prime is 47804195710651. The next prime is 47804195710709. The reversal of 47804195710656 is 65601759140874.

47804195710656 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 4 + 1 + 9 + 571 + 0 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×47804195710656² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 47804195710593 and 47804195710602.

It is not an unprimeable number, because it can be changed into a prime (47804195710651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6540452730 + ... + 6540460038.

Almost surely, 2^{47804195710656} 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 47804195710656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90760540815360).

47804195710656 is an abundant number, since it is smaller than the sum of its proper divisors (133716885920064).

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

47804195710656 is a wasteful number, since it uses less digits than its factorization.

47804195710656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 47804195710656 in words is "forty-seven trillion, eight hundred four billion, one hundred ninety-five million, seven hundred ten thousand, six hundred fifty-six".