2468814693696 has 224 divisors, whose sum is σ = 7818397977600. Its totient is φ = 759417292800.

The previous prime is 2468814693617. The next prime is 2468814693713. The reversal of 2468814693696 is 6963964188642.

2468814693696 is a `hidden beast` number, since 2 + 46 + 8 + 8 + 1 + 469 + 36 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89595121 + ... + 89622671.

It is an arithmetic number, because the mean of its divisors is an integer number (34903562400).

Almost surely, 2^{2468814693696} is an apocalyptic number.

2468814693696 is a gapful number since it is divisible by the number (26) 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 2468814693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909198988800).

2468814693696 is an abundant number, since it is smaller than the sum of its proper divisors (5349583283904).

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

2468814693696 is a wasteful number, since it uses less digits than its factorization.

2468814693696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31574 (or 31558 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 2468814693696 in words is "two trillion, four hundred sixty-eight billion, eight hundred fourteen million, six hundred ninety-three thousand, six hundred ninety-six".