248515643376 has 1920 divisors, whose sum is σ = 1068681600000. Its totient is φ = 54135889920.

The previous prime is 248515643371. The next prime is 248515643419. The reversal of 248515643376 is 673346515842.

248515643376 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 1 + 564 + 3 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14515200) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248515643371) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1667890150 + ... + 1667890298.

It is an arithmetic number, because the mean of its divisors is an integer number (556605000).

Almost surely, 2^248515643376 is an apocalyptic number.

248515643376 is a gapful number since it is divisible by the number (26) 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 248515643376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534340800000).

248515643376 is an abundant number, since it is smaller than the sum of its proper divisors (820165956624).

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

248515643376 is a wasteful number, since it uses less digits than its factorization.

248515643376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 248515643376 in words is "two hundred forty-eight billion, five hundred fifteen million, six hundred forty-three thousand, three hundred seventy-six".