6456241147986 has 128 divisors (see below), whose sum is σ = 17396121600000. Its totient is φ = 1732651990272.

The previous prime is 6456241147949. The next prime is 6456241147997. The reversal of 6456241147986 is 6897411426546.

6456241147986 is a `hidden beast` number, since 6 + 4 + 56 + 24 + 11 + 479 + 86 = 666.

It is a super-3 number, since 3×6456241147986³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199855 + ... + 4213293.

It is an arithmetic number, because the mean of its divisors is an integer number (135907200000).

Almost surely, 2^{6456241147986} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456241147986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698060800000).

6456241147986 is an abundant number, since it is smaller than the sum of its proper divisors (10939880452014).

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

6456241147986 is a wasteful number, since it uses less digits than its factorization.

6456241147986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013973 (or 2013967 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 6456241147986 in words is "six trillion, four hundred fifty-six billion, two hundred forty-one million, one hundred forty-seven thousand, nine hundred eighty-six".