6145596914688 has 2640 divisors, whose sum is σ = 25562059294464. Its totient is φ = 1423611002880.

The previous prime is 6145596914669. The next prime is 6145596914719. The reversal of 6145596914688 is 8864196955416.

6145596914688 is a `hidden beast` number, since 6 + 1 + 4 + 559 + 6 + 9 + 1 + 4 + 68 + 8 = 666.

It is a super-2 number, since 2×6145596914688² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 57435485131 + ... + 57435485237.

Almost surely, 2^{6145596914688} is an apocalyptic number.

6145596914688 is a gapful number since it is divisible by the number (68) 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 6145596914688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781029647232).

6145596914688 is an abundant number, since it is smaller than the sum of its proper divisors (19416462379776).

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

6145596914688 is a wasteful number, since it uses less digits than its factorization.

6145596914688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 170 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 6145596914688 in words is "six trillion, one hundred forty-five billion, five hundred ninety-six million, nine hundred fourteen thousand, six hundred eighty-eight".