263868348744 has 576 divisors, whose sum is σ = 988468790400. Its totient is φ = 61713100800.

The previous prime is 263868348701. The next prime is 263868348899. The reversal of 263868348744 is 447843868362.

It is a happy number.

263868348744 is a `hidden beast` number, since 2 + 6 + 38 + 6 + 83 + 487 + 44 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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 143 ways as a sum of consecutive naturals, for example, 38410942 + ... + 38417810.

It is an arithmetic number, because the mean of its divisors is an integer number (1716091650).

Almost surely, 2^263868348744 is an apocalyptic number.

263868348744 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 263868348744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494234395200).

263868348744 is an abundant number, since it is smaller than the sum of its proper divisors (724600441656).

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

263868348744 is a wasteful number, since it uses less digits than its factorization.

263868348744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6946 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 263868348744 in words is "two hundred sixty-three billion, eight hundred sixty-eight million, three hundred forty-eight thousand, seven hundred forty-four".