248440101888 has 352 divisors, whose sum is σ = 733901575680. Its totient is φ = 74096640000.

The previous prime is 248440101887. The next prime is 248440101967. The reversal of 248440101888 is 888101044842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×248440101888² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248440101881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923569018 + ... + 923569286.

Almost surely, 2^248440101888 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 248440101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366950787840).

248440101888 is an abundant number, since it is smaller than the sum of its proper divisors (485461473792).

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

248440101888 is a wasteful number, since it uses less digits than its factorization.

248440101888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 248440101888 in words is "two hundred forty-eight billion, four hundred forty million, one hundred one thousand, eight hundred eighty-eight".