614114801664 has 288 divisors, whose sum is σ = 2051060553360. Its totient is φ = 161963311104.

The previous prime is 614114801633. The next prime is 614114801687. The reversal of 614114801664 is 466108411416.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835272 + ... + 3992184.

Almost surely, 2^614114801664 is an apocalyptic number.

614114801664 is a gapful number since it is divisible by the number (64) 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 614114801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025530276680).

614114801664 is an abundant number, since it is smaller than the sum of its proper divisors (1436945751696).

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

614114801664 is a wasteful number, since it uses less digits than its factorization.

614114801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156965 (or 156938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 614114801664 in words is "six hundred fourteen billion, one hundred fourteen million, eight hundred one thousand, six hundred sixty-four".