263262109968 has 480 divisors, whose sum is σ = 924370836480. Its totient is φ = 68802048000.

The previous prime is 263262109967. The next prime is 263262109969. The reversal of 263262109968 is 869901262362.

It is a happy number.

263262109968 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 621 + 0 + 9 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (263262109967) and next prime (263262109969).

It is a super-4 number, since 4×263262109968⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (263262109963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18505098 + ... + 18519318.

It is an arithmetic number, because the mean of its divisors is an integer number (1925772576).

Almost surely, 2^263262109968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263262109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462185418240).

263262109968 is an abundant number, since it is smaller than the sum of its proper divisors (661108726512).

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

263262109968 is a wasteful number, since it uses less digits than its factorization.

263262109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 263262109968 in words is "two hundred sixty-three billion, two hundred sixty-two million, one hundred nine thousand, nine hundred sixty-eight".