616318638594048 has 480 divisors, whose sum is σ = 2030859067517280. Its totient is φ = 185011197050880.

The previous prime is 616318638594047. The next prime is 616318638594053. The reversal of 616318638594048 is 840495836813616.

616318638594048 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 186 + 38 + 5 + 9 + 404 + 8 = 666.

It is a super-2 number, since 2×616318638594048² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616318638594047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84933061 + ... + 91903547.

It is an arithmetic number, because the mean of its divisors is an integer number (4230956390661).

Almost surely, 2^{616318638594048} 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 616318638594048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015429533758640).

616318638594048 is an abundant number, since it is smaller than the sum of its proper divisors (1414540428923232).

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

616318638594048 is a wasteful number, since it uses less digits than its factorization.

616318638594048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970575 (or 6970546 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 616318638594048 in words is "six hundred sixteen trillion, three hundred eighteen billion, six hundred thirty-eight million, five hundred ninety-four thousand, forty-eight".