114077279232 has 704 divisors, whose sum is σ = 412517990400. Its totient is φ = 30797438976.

The previous prime is 114077279219. The next prime is 114077279249. The reversal of 114077279232 is 232972770411.

114077279232 is a `hidden beast` number, since 1 + 1 + 407 + 7 + 2 + 7 + 9 + 232 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297851713 + ... + 297852095.

Almost surely, 2^114077279232 is an apocalyptic number.

114077279232 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 114077279232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206258995200).

114077279232 is an abundant number, since it is smaller than the sum of its proper divisors (298440711168).

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

114077279232 is an frugal number, since it uses more digits than its factorization.

114077279232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 114077279232 in words is "one hundred fourteen billion, seventy-seven million, two hundred seventy-nine thousand, two hundred thirty-two".