248390177057360 has 160 divisors (see below), whose sum is σ = 636421884392448. Its totient is φ = 89576545443840.

The previous prime is 248390177057333. The next prime is 248390177057371. The reversal of 248390177057360 is 63750771093842.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 248390177057293 and 248390177057302.

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, 1155502049 + ... + 1155716991.

It is a 2-persistent number, because it is pandigital, and so is 2⋅248390177057360 = 496780354114720, but 3⋅248390177057360 = 745170531172080 is not.

Almost surely, 2^{248390177057360} is an apocalyptic number.

248390177057360 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 248390177057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318210942196224).

248390177057360 is an abundant number, since it is smaller than the sum of its proper divisors (388031707335088).

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

248390177057360 is a wasteful number, since it uses less digits than its factorization.

248390177057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240853 (or 240847 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 62.

The spelling of 248390177057360 in words is "two hundred forty-eight trillion, three hundred ninety billion, one hundred seventy-seven million, fifty-seven thousand, three hundred sixty".