114594367776 has 96 divisors (see below), whose sum is σ = 344768860800. Its totient is φ = 32647366656.

The previous prime is 114594367763. The next prime is 114594367787. The reversal of 114594367776 is 677763495411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×114594367776² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9781 + ... + 478836.

It is an arithmetic number, because the mean of its divisors is an integer number (3591342300).

Almost surely, 2^114594367776 is an apocalyptic number.

114594367776 is a gapful number since it is divisible by the number (16) 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 114594367776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172384430400).

114594367776 is an abundant number, since it is smaller than the sum of its proper divisors (230174493024).

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

114594367776 is a wasteful number, since it uses less digits than its factorization.

114594367776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488986 (or 488978 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 60.

The spelling of 114594367776 in words is "one hundred fourteen billion, five hundred ninety-four million, three hundred sixty-seven thousand, seven hundred seventy-six".