248334313920 has 896 divisors, whose sum is σ = 1020916334592. Its totient is φ = 49633689600.

The previous prime is 248334313919. The next prime is 248334313937. The reversal of 248334313920 is 29313433842.

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 127 ways as a sum of consecutive naturals, for example, 703496464 + ... + 703496816.

It is an arithmetic number, because the mean of its divisors is an integer number (1139415552).

Almost surely, 2^248334313920 is an apocalyptic number.

248334313920 is a gapful number since it is divisible by the number (20) 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 248334313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510458167296).

248334313920 is an abundant number, since it is smaller than the sum of its proper divisors (772582020672).

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

248334313920 is a wasteful number, since it uses less digits than its factorization.

248334313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 248334313920 in words is "two hundred forty-eight billion, three hundred thirty-four million, three hundred thirteen thousand, nine hundred twenty".