614891004768 has 72 divisors (see below), whose sum is σ = 1851454915128. Its totient is φ = 192906980352.

The previous prime is 614891004713. The next prime is 614891004769. The reversal of 614891004768 is 867400198416.

614891004768 is a `hidden beast` number, since 61 + 4 + 8 + 9 + 100 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614891004769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62790346 + ... + 62800137.

It is an arithmetic number, because the mean of its divisors is an integer number (25714651599).

Almost surely, 2^614891004768 is an apocalyptic number.

614891004768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

614891004768 is an abundant number, since it is smaller than the sum of its proper divisors (1236563910360).

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

614891004768 is a wasteful number, since it uses less digits than its factorization.

614891004768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125590516 (or 125590505 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 614891004768 in words is "six hundred fourteen billion, eight hundred ninety-one million, four thousand, seven hundred sixty-eight".