248381472672 has 288 divisors, whose sum is σ = 802601654400. Its totient is φ = 72437815296.

The previous prime is 248381472667. The next prime is 248381472679. The reversal of 248381472672 is 276274183842.

248381472672 is a `hidden beast` number, since 24 + 8 + 3 + 81 + 472 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×248381472672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248381472679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615798 + ... + 3683850.

It is an arithmetic number, because the mean of its divisors is an integer number (2786811300).

Almost surely, 2^248381472672 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 248381472672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401300827200).

248381472672 is an abundant number, since it is smaller than the sum of its proper divisors (554220181728).

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

248381472672 is a wasteful number, since it uses less digits than its factorization.

248381472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68140 (or 68129 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 248381472672 in words is "two hundred forty-eight billion, three hundred eighty-one million, four hundred seventy-two thousand, six hundred seventy-two".