248097392900 has 108 divisors (see below), whose sum is σ = 626741831268. Its totient is φ = 84997704960.

The previous prime is 248097392869. The next prime is 248097392903. The reversal of 248097392900 is 9293790842.

It can be written as a sum of positive squares in 6 ways, for example, as 39694186756 + 208403206144 = 199234^2 + 456512^2 .

It is not an unprimeable number, because it can be changed into a prime (248097392903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6709262 + ... + 6746138.

Almost surely, 2^248097392900 is an apocalyptic number.

248097392900 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 248097392900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313370915634).

248097392900 is an abundant number, since it is smaller than the sum of its proper divisors (378644438368).

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

248097392900 is a wasteful number, since it uses less digits than its factorization.

248097392900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38278 (or 38264 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 248097392900 in words is "two hundred forty-eight billion, ninety-seven million, three hundred ninety-two thousand, nine hundred".