248995953384399 has 384 divisors, whose sum is σ = 425717887795200. Its totient is φ = 138983655444480.

The previous prime is 248995953384379. The next prime is 248995953384433. The reversal of 248995953384399 is 993483359599842.

248995953384399 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 9 + 595 + 3 + 3 + 8 + 4 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 248995953384399 - 2¹² = 248995953380303 is a prime.

Its product of digits (81629337600) is a multiple of the sum of its prime factors (1215).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248995953384359) 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, 410207501154 + ... + 410207501760.

It is an arithmetic number, because the mean of its divisors is an integer number (1108640332800).

Almost surely, 2^{248995953384399} is an apocalyptic number.

248995953384399 is a deficient number, since it is larger than the sum of its proper divisors (176721934410801).

248995953384399 is a wasteful number, since it uses less digits than its factorization.

248995953384399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1212 counting only the distinct ones).

The product of its digits is 81629337600, while the sum is 90.

The spelling of 248995953384399 in words is "two hundred forty-eight trillion, nine hundred ninety-five billion, nine hundred fifty-three million, three hundred eighty-four thousand, three hundred ninety-nine".