47355842471616 has 1344 divisors, whose sum is σ = 180591483571200. Its totient is φ = 11538415484928.

The previous prime is 47355842471573. The next prime is 47355842471627. The reversal of 47355842471616 is 61617424855374.

47355842471616 is a `hidden beast` number, since 4 + 7 + 3 + 5 + 5 + 8 + 4 + 2 + 4 + 7 + 1 + 616 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2842991160 + ... + 2843007816.

Almost surely, 2^{47355842471616} 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 47355842471616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90295741785600).

47355842471616 is an abundant number, since it is smaller than the sum of its proper divisors (133235641099584).

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

47355842471616 is a wasteful number, since it uses less digits than its factorization.

47355842471616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16814 (or 16801 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 47355842471616 in words is "forty-seven trillion, three hundred fifty-five billion, eight hundred forty-two million, four hundred seventy-one thousand, six hundred sixteen".