263116351197504 has 840 divisors, whose sum is σ = 907700867124480. Its totient is φ = 73823085600768.

The previous prime is 263116351197473. The next prime is 263116351197517. The reversal of 263116351197504 is 405791153611362.

263116351197504 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 1 + 6 + 35 + 11 + 97 + 504 = 666.

It is a super-2 number, since 2×263116351197504² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46217518882 + ... + 46217524574.

Almost surely, 2^{263116351197504} is an apocalyptic number.

263116351197504 is a gapful number since it is divisible by the number (24) 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 263116351197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453850433562240).

263116351197504 is an abundant number, since it is smaller than the sum of its proper divisors (644584515926976).

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

263116351197504 is an equidigital number, since it uses as much as digits as its factorization.

263116351197504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 263116351197504 in words is "two hundred sixty-three trillion, one hundred sixteen billion, three hundred fifty-one million, one hundred ninety-seven thousand, five hundred four".