614232065664 has 384 divisors, whose sum is σ = 2138719190400. Its totient is φ = 165290139648.

The previous prime is 614232065663. The next prime is 614232065723. The reversal of 614232065664 is 466560232416.

It is a happy number.

614232065664 is a `hidden beast` number, since 61 + 4 + 2 + 3 + 20 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (614232065663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26494782 + ... + 26517954.

It is an arithmetic number, because the mean of its divisors is an integer number (5569581225).

Almost surely, 2^614232065664 is an apocalyptic number.

614232065664 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 614232065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069359595200).

614232065664 is an abundant number, since it is smaller than the sum of its proper divisors (1524487124736).

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

614232065664 is a wasteful number, since it uses less digits than its factorization.

614232065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23392 (or 23377 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 614232065664 in words is "six hundred fourteen billion, two hundred thirty-two million, sixty-five thousand, six hundred sixty-four".