248998030138368 has 704 divisors, whose sum is σ = 852917103360000. Its totient is φ = 70285859094528.

The previous prime is 248998030138343. The next prime is 248998030138379. The reversal of 248998030138368 is 863831030899842.

248998030138368 is a `hidden beast` number, since 2 + 4 + 89 + 9 + 80 + 30 + 1 + 383 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248998030138296 and 248998030138305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24097355730 + ... + 24097366062.

Almost surely, 2^{248998030138368} is an apocalyptic number.

248998030138368 is a gapful number since it is divisible by the number (28) 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 248998030138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426458551680000).

248998030138368 is an abundant number, since it is smaller than the sum of its proper divisors (603919073221632).

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

248998030138368 is a wasteful number, since it uses less digits than its factorization.

248998030138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 248998030138368 in words is "two hundred forty-eight trillion, nine hundred ninety-eight billion, thirty million, one hundred thirty-eight thousand, three hundred sixty-eight".