248999063040 has 1280 divisors, whose sum is σ = 1124568023040. Its totient is φ = 50801541120.

The previous prime is 248999062987. The next prime is 248999063041. The reversal of 248999063040 is 40360999842.

248999063040 is a `hidden beast` number, since 2 + 489 + 9 + 90 + 6 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248999063041) 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, 194986882 + ... + 194988158.

It is an arithmetic number, because the mean of its divisors is an integer number (878568768).

Almost surely, 2^248999063040 is an apocalyptic number.

248999063040 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 248999063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562284011520).

248999063040 is an abundant number, since it is smaller than the sum of its proper divisors (875568960000).

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

248999063040 is a wasteful number, since it uses less digits than its factorization.

248999063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 248999063040 in words is "two hundred forty-eight billion, nine hundred ninety-nine million, sixty-three thousand, forty".