248956173840 has 120 divisors (see below), whose sum is σ = 848302830144. Its totient is φ = 60353004800.

The previous prime is 248956173839. The next prime is 248956173871. The reversal of 248956173840 is 48371659842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4257396 + ... + 4315475.

It is a 1-persistent number, because it is pandigital, but 2⋅248956173840 = 497912347680 is not.

Almost surely, 2^248956173840 is an apocalyptic number.

248956173840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248956173840 is an abundant number, since it is smaller than the sum of its proper divisors (599346656304).

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

248956173840 is a wasteful number, since it uses less digits than its factorization.

248956173840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8572909 (or 8572892 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 248956173840 in words is "two hundred forty-eight billion, nine hundred fifty-six million, one hundred seventy-three thousand, eight hundred forty".