47209480670016 has 252 divisors, whose sum is σ = 157619769128640. Its totient is φ = 13470456384000.

The previous prime is 47209480669987. The next prime is 47209480670063. The reversal of 47209480670016 is 61007608490274.

47209480670016 is a `hidden beast` number, since 472 + 0 + 94 + 8 + 0 + 6 + 70 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×47209480670016² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20082595 + ... + 22309853.

It is an arithmetic number, because the mean of its divisors is an integer number (625475274320).

Almost surely, 2^{47209480670016} 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 47209480670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78809884564320).

47209480670016 is an abundant number, since it is smaller than the sum of its proper divisors (110410288458624).

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

47209480670016 is a wasteful number, since it uses less digits than its factorization.

47209480670016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228042 (or 2228022 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47209480670016 in words is "forty-seven trillion, two hundred nine billion, four hundred eighty million, six hundred seventy thousand, sixteen".