248199991842 has 48 divisors (see below), whose sum is σ = 555924720960. Its totient is φ = 73793010720.

The previous prime is 248199991841. The next prime is 248199991859.

248199991842 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (248199991841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3186742 + ... + 3263697.

It is an arithmetic number, because the mean of its divisors is an integer number (11581765020).

Almost surely, 2^248199991842 is an apocalyptic number.

248199991842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248199991842 is an abundant number, since it is smaller than the sum of its proper divisors (307724729118).

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

248199991842 is a wasteful number, since it uses less digits than its factorization.

248199991842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450519 (or 6450508 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 66.

The spelling of 248199991842 in words is "two hundred forty-eight billion, one hundred ninety-nine million, nine hundred ninety-one thousand, eight hundred forty-two".