6238856687616 has 1664 divisors, whose sum is σ = 23189992243200. Its totient is φ = 1618642206720.

The previous prime is 6238856687579. The next prime is 6238856687617. The reversal of 6238856687616 is 6167866588326.

6238856687616 is a `hidden beast` number, since 62 + 388 + 56 + 6 + 87 + 61 + 6 = 666.

It is a super-2 number, since 2×6238856687616² (a number of 26 digits) contains 22 as substring.

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 (6238856687617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49124855745 + ... + 49124855871.

Almost surely, 2^{6238856687616} 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 6238856687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11594996121600).

6238856687616 is an abundant number, since it is smaller than the sum of its proper divisors (16951135555584).

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

6238856687616 is a wasteful number, since it uses less digits than its factorization.

6238856687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 6238856687616 in words is "six trillion, two hundred thirty-eight billion, eight hundred fifty-six million, six hundred eighty-seven thousand, six hundred sixteen".