248866314240 has 96 divisors (see below), whose sum is σ = 796177877040. Its totient is φ = 66364342272.

The previous prime is 248866314239. The next prime is 248866314241. The reversal of 248866314240 is 42413668842.

It is an interprime number because it is at equal distance from previous prime (248866314239) and next prime (248866314241).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 248866314240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248866314241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4019839 + ... + 4081278.

Almost surely, 2^248866314240 is an apocalyptic number.

248866314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248866314240 is an abundant number, since it is smaller than the sum of its proper divisors (547311562800).

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

248866314240 is an equidigital number, since it uses as much as digits as its factorization.

248866314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101147 (or 8101127 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 248866314240 in words is "two hundred forty-eight billion, eight hundred sixty-six million, three hundred fourteen thousand, two hundred forty".