248104613120 has 288 divisors, whose sum is σ = 736144539648. Its totient is φ = 78015135744.

The previous prime is 248104613087. The next prime is 248104613131. The reversal of 248104613120 is 21316401842.

It is a super-2 number, since 2×248104613120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 18280577 + ... + 18294143.

Almost surely, 2^248104613120 is an apocalyptic number.

248104613120 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 248104613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368072269824).

248104613120 is an abundant number, since it is smaller than the sum of its proper divisors (488039926528).

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

248104613120 is a wasteful number, since it uses less digits than its factorization.

248104613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13765 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 248104613120 in words is "two hundred forty-eight billion, one hundred four million, six hundred thirteen thousand, one hundred twenty".