47300633914752 has 256 divisors, whose sum is σ = 146199391128000. Its totient is φ = 15223189911552.

The previous prime is 47300633914747. The next prime is 47300633914763. The reversal of 47300633914752 is 25741933600374.

47300633914752 is a `hidden beast` number, since 473 + 0 + 0 + 6 + 33 + 91 + 4 + 7 + 52 = 666.

It is a super-2 number, since 2×47300633914752² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5204878 + ... + 11031410.

Almost surely, 2^{47300633914752} 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 47300633914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73099695564000).

47300633914752 is an abundant number, since it is smaller than the sum of its proper divisors (98898757213248).

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

47300633914752 is an frugal number, since it uses more digits than its factorization.

47300633914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826597 (or 5826567 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 47300633914752 in words is "forty-seven trillion, three hundred billion, six hundred thirty-three million, nine hundred fourteen thousand, seven hundred fifty-two".