47350997076096 has 2304 divisors, whose sum is σ = 175534055424000. Its totient is φ = 12648777523200.

The previous prime is 47350997076091. The next prime is 47350997076133. The reversal of 47350997076096 is 69067079905374.

47350997076096 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 0 + 9 + 9 + 7 + 0 + 7 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47350997076091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 247910979361 + ... + 247910979551.

It is an arithmetic number, because the mean of its divisors is an integer number (76186656000).

Almost surely, 2^{47350997076096} 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 47350997076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87767027712000).

47350997076096 is an abundant number, since it is smaller than the sum of its proper divisors (128183058347904).

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

47350997076096 is a wasteful number, since it uses less digits than its factorization.

47350997076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 47350997076096 in words is "forty-seven trillion, three hundred fifty billion, nine hundred ninety-seven million, seventy-six thousand, ninety-six".