114263436672 has 1280 divisors, whose sum is σ = 462558412800. Its totient is φ = 27209779200.

The previous prime is 114263436631. The next prime is 114263436719. The reversal of 114263436672 is 276634362411.

114263436672 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 634 + 3 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×114263436672² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3685917297 + ... + 3685917327.

It is an arithmetic number, because the mean of its divisors is an integer number (361373760).

Almost surely, 2^114263436672 is an apocalyptic number.

114263436672 is a gapful number since it is divisible by the number (12) 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 114263436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231279206400).

114263436672 is an abundant number, since it is smaller than the sum of its proper divisors (348294976128).

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

114263436672 is an frugal number, since it uses more digits than its factorization.

114263436672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 114263436672 in words is "one hundred fourteen billion, two hundred sixty-three million, four hundred thirty-six thousand, six hundred seventy-two".