248376449436696 has 96 divisors (see below), whose sum is σ = 793583740185600. Its totient is φ = 68675515968960.

The previous prime is 248376449436677. The next prime is 248376449436707. The reversal of 248376449436696 is 696634944673842.

248376449436696 is a `hidden beast` number, since 2 + 4 + 8 + 3 + 7 + 6 + 4 + 494 + 36 + 6 + 96 = 666.

It is a super-2 number, since 2×248376449436696² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7948539466 + ... + 7948570713.

It is an arithmetic number, because the mean of its divisors is an integer number (8266497293600).

Almost surely, 2^{248376449436696} is an apocalyptic number.

It is an amenable number.

248376449436696 is an abundant number, since it is smaller than the sum of its proper divisors (545207290748904).

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

248376449436696 is a wasteful number, since it uses less digits than its factorization.

248376449436696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897110229 (or 15897110222 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 81.

The spelling of 248376449436696 in words is "two hundred forty-eight trillion, three hundred seventy-six billion, four hundred forty-nine million, four hundred thirty-six thousand, six hundred ninety-six".