6095706006144 has 64 divisors (see below), whose sum is σ = 16192015483680. Its totient is φ = 2031864806400.

The previous prime is 6095706006067. The next prime is 6095706006179. The reversal of 6095706006144 is 4416006075906.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6095706006093 and 6095706006102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27896674 + ... + 28114334.

Almost surely, 2^{6095706006144} is an apocalyptic number.

6095706006144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6095706006144 is an abundant number, since it is smaller than the sum of its proper divisors (10096309477536).

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

6095706006144 is a wasteful number, since it uses less digits than its factorization.

6095706006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290609 (or 290597 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 6095706006144 in words is "six trillion, ninety-five billion, seven hundred six million, six thousand, one hundred forty-four".