964496259514368 has 1536 divisors, whose sum is σ = 3541471974144000. Its totient is φ = 246687612272640.

The previous prime is 964496259514367. The next prime is 964496259514477. The reversal of 964496259514368 is 863415952694469.

964496259514368 is a `hidden beast` number, since 9 + 6 + 4 + 4 + 9 + 6 + 2 + 595 + 14 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964496259514367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53461343428 + ... + 53461361468.

It is an arithmetic number, because the mean of its divisors is an integer number (2305645816500).

Almost surely, 2^{964496259514368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964496259514368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770735987072000).

964496259514368 is an abundant number, since it is smaller than the sum of its proper divisors (2576975714629632).

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

964496259514368 is a wasteful number, since it uses less digits than its factorization.

964496259514368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18179 (or 18148 counting only the distinct ones).

The product of its digits is 12093235200, while the sum is 81.

The spelling of 964496259514368 in words is "nine hundred sixty-four trillion, four hundred ninety-six billion, two hundred fifty-nine million, five hundred fourteen thousand, three hundred sixty-eight".