248979433515120 has 4800 divisors, whose sum is σ = 1164455012966400. Its totient is φ = 48685722624000.

The previous prime is 248979433515103. The next prime is 248979433515133. The reversal of 248979433515120 is 21515334979842.

248979433515120 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 7 + 94 + 3 + 3 + 515 + 1 + 20 = 666.

It is a super-2 number, since 2×248979433515120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3410677171404 + ... + 3410677171476.

It is an arithmetic number, because the mean of its divisors is an integer number (242594794368).

Almost surely, 2^{248979433515120} is an apocalyptic number.

248979433515120 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 248979433515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582227506483200).

248979433515120 is an abundant number, since it is smaller than the sum of its proper divisors (915475579451280).

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

248979433515120 is a wasteful number, since it uses less digits than its factorization.

248979433515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 248979433515120 in words is "two hundred forty-eight trillion, nine hundred seventy-nine billion, four hundred thirty-three million, five hundred fifteen thousand, one hundred twenty".