248137930656 has 768 divisors, whose sum is σ = 943836364800. Its totient is φ = 61542374400.

The previous prime is 248137930639. The next prime is 248137930657. The reversal of 248137930656 is 656039731842.

248137930656 is a `hidden beast` number, since 2 + 481 + 3 + 79 + 30 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (248137930657) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162926311 + ... + 162927833.

It is an arithmetic number, because the mean of its divisors is an integer number (1228953600).

It is a 1-persistent number, because it is pandigital, but 2⋅248137930656 = 496275861312 is not.

Almost surely, 2^248137930656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248137930656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471918182400).

248137930656 is an abundant number, since it is smaller than the sum of its proper divisors (695698434144).

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

248137930656 is a wasteful number, since it uses less digits than its factorization.

248137930656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 248137930656 in words is "two hundred forty-eight billion, one hundred thirty-seven million, nine hundred thirty thousand, six hundred fifty-six".