248638942656 has 560 divisors, whose sum is σ = 817868620800. Its totient is φ = 74205186048.

The previous prime is 248638942639. The next prime is 248638942663. The reversal of 248638942656 is 656249836842.

It is a happy number.

248638942656 is a `hidden beast` number, since 2 + 4 + 86 + 3 + 89 + 426 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 248638942593 and 248638942602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 692587405 + ... + 692587763.

It is an arithmetic number, because the mean of its divisors is an integer number (1460479680).

Almost surely, 2^248638942656 is an apocalyptic number.

248638942656 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 248638942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408934310400).

248638942656 is an abundant number, since it is smaller than the sum of its proper divisors (569229678144).

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

248638942656 is a wasteful number, since it uses less digits than its factorization.

248638942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 248638942656 in words is "two hundred forty-eight billion, six hundred thirty-eight million, nine hundred forty-two thousand, six hundred fifty-six".