248222423904 has 192 divisors, whose sum is σ = 815097830400. Its totient is φ = 64391915520.

The previous prime is 248222423857. The next prime is 248222423929. The reversal of 248222423904 is 409324222842.

248222423904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248222423904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 299997 + ... + 765795.

It is an arithmetic number, because the mean of its divisors is an integer number (4245301200).

Almost surely, 2^248222423904 is an apocalyptic number.

248222423904 is a gapful number since it is divisible by the number (24) 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 248222423904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407548915200).

248222423904 is an abundant number, since it is smaller than the sum of its proper divisors (566875406496).

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

248222423904 is a wasteful number, since it uses less digits than its factorization.

248222423904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465893 (or 465885 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 248222423904 in words is "two hundred forty-eight billion, two hundred twenty-two million, four hundred twenty-three thousand, nine hundred four".