248155176960 has 768 divisors, whose sum is σ = 934342456320. Its totient is φ = 63063982080.

The previous prime is 248155176959. The next prime is 248155177007. The reversal of 248155176960 is 69671551842.

It is a happy number.

248155176960 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 5 + 517 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 248155176897 and 248155176906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915701625 + ... + 915701895.

It is an arithmetic number, because the mean of its divisors is an integer number (1216591740).

Almost surely, 2^248155176960 is an apocalyptic number.

248155176960 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 248155176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467171228160).

248155176960 is an abundant number, since it is smaller than the sum of its proper divisors (686187279360).

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

248155176960 is an frugal number, since it uses more digits than its factorization.

248155176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 248155176960 in words is "two hundred forty-eight billion, one hundred fifty-five million, one hundred seventy-six thousand, nine hundred sixty".