248414432196 has 96 divisors (see below), whose sum is σ = 668062080000. Its totient is φ = 70375321728.

The previous prime is 248414432173. The next prime is 248414432207. The reversal of 248414432196 is 691234414842.

It is a super-2 number, since 2×248414432196² (a number of 24 digits) contains 22 as substring.

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, 5223895 + ... + 5271233.

It is an arithmetic number, because the mean of its divisors is an integer number (6958980000).

Almost surely, 2^248414432196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248414432196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334031040000).

248414432196 is an abundant number, since it is smaller than the sum of its proper divisors (419647647804).

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

248414432196 is a wasteful number, since it uses less digits than its factorization.

248414432196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47881 (or 47879 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 248414432196 in words is "two hundred forty-eight billion, four hundred fourteen million, four hundred thirty-two thousand, one hundred ninety-six".