6115100106456 has 512 divisors, whose sum is σ = 21551339520000. Its totient is φ = 1580422440960.

The previous prime is 6115100106449. The next prime is 6115100106463. The reversal of 6115100106456 is 6546010015116.

6115100106456 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 1 + 0 + 0 + 1 + 0 + 645 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6115100106449) and next prime (6115100106463).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6115100106456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17478085 + ... + 17824523.

It is an arithmetic number, because the mean of its divisors is an integer number (42092460000).

Almost surely, 2^{6115100106456} is an apocalyptic number.

6115100106456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6115100106456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775669760000).

6115100106456 is an abundant number, since it is smaller than the sum of its proper divisors (15436239413544).

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

6115100106456 is a wasteful number, since it uses less digits than its factorization.

6115100106456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346524 (or 346514 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 6115100106456 in words is "six trillion, one hundred fifteen billion, one hundred million, one hundred six thousand, four hundred fifty-six".