47969446002192 has 480 divisors, whose sum is σ = 167149356506496. Its totient is φ = 12617076326400.

The previous prime is 47969446002139. The next prime is 47969446002211. The reversal of 47969446002192 is 29120064496974.

47969446002192 is a `hidden beast` number, since 4 + 7 + 9 + 6 + 9 + 4 + 4 + 600 + 2 + 19 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382557267 + ... + 382682637.

Almost surely, 2^{47969446002192} 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 47969446002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83574678253248).

47969446002192 is an abundant number, since it is smaller than the sum of its proper divisors (119179910504304).

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

47969446002192 is a wasteful number, since it uses less digits than its factorization.

47969446002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126519 (or 126510 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 47969446002192 in words is "forty-seven trillion, nine hundred sixty-nine billion, four hundred forty-six million, two thousand, one hundred ninety-two".