248677640800 has 72 divisors (see below), whose sum is σ = 607159779912. Its totient is φ = 99458688000.

The previous prime is 248677640779. The next prime is 248677640851. The reversal of 248677640800 is 8046776842.

It is a super-3 number, since 3×248677640800³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9115180 + ... + 9142420.

It is an arithmetic number, because the mean of its divisors is an integer number (8432774721).

Almost surely, 2^248677640800 is an apocalyptic number.

248677640800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248677640800 is an abundant number, since it is smaller than the sum of its proper divisors (358482139112).

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

248677640800 is a wasteful number, since it uses less digits than its factorization.

248677640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38672 (or 38659 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

It can be divided in two parts, 24867 and 7640800, that added together give a palindrome (7665667).

The spelling of 248677640800 in words is "two hundred forty-eight billion, six hundred seventy-seven million, six hundred forty thousand, eight hundred".