6115441626000 has 320 divisors, whose sum is σ = 25036425423360. Its totient is φ = 1397815142400.

The previous prime is 6115441625999. The next prime is 6115441626013. The reversal of 6115441626000 is 6261445116.

6115441626000 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 4 + 41 + 6 + 2 + 600 + 0 = 666.

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

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, 7711209 + ... + 8467208.

It is an arithmetic number, because the mean of its divisors is an integer number (78238829448).

Almost surely, 2^{6115441626000} is an apocalyptic number.

6115441626000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6115441626000 is an abundant number, since it is smaller than the sum of its proper divisors (18920983797360).

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

6115441626000 is a wasteful number, since it uses less digits than its factorization.

6115441626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16178456 (or 16178434 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 6115441626000 in words is "six trillion, one hundred fifteen billion, four hundred forty-one million, six hundred twenty-six thousand".