248365004396160 has 1024 divisors, whose sum is σ = 866671902720000. Its totient is φ = 60266188062720.

The previous prime is 248365004396149. The next prime is 248365004396203. The reversal of 248365004396160 is 61693400563842.

It is a super-2 number, since 2×248365004396160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 248365004396160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159310457461 + ... + 159310459019.

It is an arithmetic number, because the mean of its divisors is an integer number (846359280000).

Almost surely, 2^{248365004396160} is an apocalyptic number.

248365004396160 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 248365004396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433335951360000).

248365004396160 is an abundant number, since it is smaller than the sum of its proper divisors (618306898323840).

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

248365004396160 is a wasteful number, since it uses less digits than its factorization.

248365004396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 248365004396160 in words is "two hundred forty-eight trillion, three hundred sixty-five billion, four million, three hundred ninety-six thousand, one hundred sixty".