248976891000 has 384 divisors, whose sum is σ = 857707718400. Its totient is φ = 65127110400.

The previous prime is 248976890993. The next prime is 248976891001. The reversal of 248976891000 is 198679842.

248976891000 is a `hidden beast` number, since 2 + 489 + 76 + 8 + 91 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248976891001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170648271 + ... + 170649729.

It is an arithmetic number, because the mean of its divisors is an integer number (2233613850).

Almost surely, 2^248976891000 is an apocalyptic number.

248976891000 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 248976891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428853859200).

248976891000 is an abundant number, since it is smaller than the sum of its proper divisors (608730827400).

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

248976891000 is a wasteful number, since it uses less digits than its factorization.

248976891000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 248976891000 in words is "two hundred forty-eight billion, nine hundred seventy-six million, eight hundred ninety-one thousand".