248704948800 has 1512 divisors, whose sum is σ = 1160427915360. Its totient is φ = 51625728000.

The previous prime is 248704948777. The next prime is 248704948819. The reversal of 248704948800 is 8849407842.

248704948800 is a `hidden beast` number, since 2 + 4 + 8 + 70 + 494 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×248704948800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 256132315 + ... + 256133285.

It is an arithmetic number, because the mean of its divisors is an integer number (767478780).

Almost surely, 2^248704948800 is an apocalyptic number.

248704948800 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 248704948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580213957680).

248704948800 is an abundant number, since it is smaller than the sum of its proper divisors (911722966560).

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

248704948800 is a wasteful number, since it uses less digits than its factorization.

248704948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 248704948800 in words is "two hundred forty-eight billion, seven hundred four million, nine hundred forty-eight thousand, eight hundred".