248294951520 has 768 divisors, whose sum is σ = 1021266247680. Its totient is φ = 49196851200.

The previous prime is 248294951473. The next prime is 248294951521. The reversal of 248294951520 is 25159492842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248294951521) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 88961325 + ... + 88964115.

It is an arithmetic number, because the mean of its divisors is an integer number (1329773760).

Almost surely, 2^248294951520 is an apocalyptic number.

248294951520 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 248294951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510633123840).

248294951520 is an abundant number, since it is smaller than the sum of its proper divisors (772971296160).

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

248294951520 is a wasteful number, since it uses less digits than its factorization.

248294951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 248294951520 in words is "two hundred forty-eight billion, two hundred ninety-four million, nine hundred fifty-one thousand, five hundred twenty".