248998387680 has 576 divisors, whose sum is σ = 981770969088. Its totient is φ = 56292433920.

The previous prime is 248998387669. The next prime is 248998387691. The reversal of 248998387680 is 86783899842.

248998387680 is a `hidden beast` number, since 2 + 4 + 89 + 98 + 387 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (248998387669) and next prime (248998387691).

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 = 248998387599 and 248998387608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544854012 + ... + 544854468.

It is an arithmetic number, because the mean of its divisors is an integer number (1704463488).

Almost surely, 2^248998387680 is an apocalyptic number.

248998387680 is a gapful number since it is divisible by the number (20) 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 248998387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490885484544).

248998387680 is an abundant number, since it is smaller than the sum of its proper divisors (732772581408).

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

248998387680 is a wasteful number, since it uses less digits than its factorization.

248998387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 248998387680 in words is "two hundred forty-eight billion, nine hundred ninety-eight million, three hundred eighty-seven thousand, six hundred eighty".