248425242624 has 560 divisors, whose sum is σ = 825923387520. Its totient is φ = 73893150720.

The previous prime is 248425242617. The next prime is 248425242697. The reversal of 248425242624 is 426242524842.

248425242624 is a `hidden beast` number, since 2 + 4 + 84 + 2 + 524 + 26 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248425242624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267410992 + ... + 267411920.

It is an arithmetic number, because the mean of its divisors is an integer number (1474863192).

Almost surely, 2^248425242624 is an apocalyptic number.

248425242624 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 248425242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412961693760).

248425242624 is an abundant number, since it is smaller than the sum of its proper divisors (577498144896).

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

248425242624 is an equidigital number, since it uses as much as digits as its factorization.

248425242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 978 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 45.

The spelling of 248425242624 in words is "two hundred forty-eight billion, four hundred twenty-five million, two hundred forty-two thousand, six hundred twenty-four".