2329034496768 has 216 divisors, whose sum is σ = 7675840460288. Its totient is φ = 665321527296.

The previous prime is 2329034496727. The next prime is 2329034496779. The reversal of 2329034496768 is 8676944309232.

2329034496768 is a `hidden beast` number, since 2 + 32 + 90 + 3 + 449 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 139063371 + ... + 139080117.

Almost surely, 2^{2329034496768} is an apocalyptic number.

2329034496768 is a gapful number since it is divisible by the number (28) 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 2329034496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837920230144).

2329034496768 is an abundant number, since it is smaller than the sum of its proper divisors (5346805963520).

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

2329034496768 is a wasteful number, since it uses less digits than its factorization.

2329034496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25399 (or 25382 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 2329034496768 in words is "two trillion, three hundred twenty-nine billion, thirty-four million, four hundred ninety-six thousand, seven hundred sixty-eight".