248447551968 has 480 divisors, whose sum is σ = 925953735168. Its totient is φ = 63470822400.

The previous prime is 248447551931. The next prime is 248447551981. The reversal of 248447551968 is 869155744842.

It is a happy number.

248447551968 is a `hidden beast` number, since 2 + 4 + 8 + 44 + 75 + 519 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12164421 + ... + 12184827.

Almost surely, 2^248447551968 is an apocalyptic number.

248447551968 is a gapful number since it is divisible by the number (28) 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 248447551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462976867584).

248447551968 is an abundant number, since it is smaller than the sum of its proper divisors (677506183200).

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

248447551968 is a wasteful number, since it uses less digits than its factorization.

248447551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20508 (or 20491 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 248447551968 in words is "two hundred forty-eight billion, four hundred forty-seven million, five hundred fifty-one thousand, nine hundred sixty-eight".