248967598320 has 160 divisors (see below), whose sum is σ = 980062986240. Its totient is φ = 56906876160.

The previous prime is 248967598307. The next prime is 248967598349. The reversal of 248967598320 is 23895769842.

248967598320 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 6 + 7 + 598 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8217936 + ... + 8248175.

It is an arithmetic number, because the mean of its divisors is an integer number (6125393664).

Almost surely, 2^248967598320 is an apocalyptic number.

248967598320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248967598320 is an abundant number, since it is smaller than the sum of its proper divisors (731095387920).

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

248967598320 is a wasteful number, since it uses less digits than its factorization.

248967598320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16466140 (or 16466128 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 248967598320 in words is "two hundred forty-eight billion, nine hundred sixty-seven million, five hundred ninety-eight thousand, three hundred twenty".