248481728190 has 32 divisors (see below), whose sum is σ = 662617942560. Its totient is φ = 66261794112.

The previous prime is 248481728179. The next prime is 248481728203. The reversal of 248481728190 is 91827184842.

248481728190 is a `hidden beast` number, since 2 + 4 + 8 + 481 + 72 + 8 + 1 + 90 = 666.

It is a super-2 number, since 2×248481728190² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460151079 + ... + 460151618.

It is an arithmetic number, because the mean of its divisors is an integer number (20706810705).

Almost surely, 2^248481728190 is an apocalyptic number.

248481728190 is an abundant number, since it is smaller than the sum of its proper divisors (414136214370).

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

248481728190 is a wasteful number, since it uses less digits than its factorization.

248481728190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920302713 (or 920302707 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 248481728190 in words is "two hundred forty-eight billion, four hundred eighty-one million, seven hundred twenty-eight thousand, one hundred ninety".