114993687990912 has 128 divisors (see below), whose sum is σ = 311609058091200. Its totient is φ = 37562675896320.

The previous prime is 114993687990869. The next prime is 114993687990967. The reversal of 114993687990912 is 219099786399411.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823789 + ... + 15187692.

Almost surely, 2^{114993687990912} is an apocalyptic number.

114993687990912 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 114993687990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155804529045600).

114993687990912 is an abundant number, since it is smaller than the sum of its proper divisors (196615370100288).

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

114993687990912 is a wasteful number, since it uses less digits than its factorization.

114993687990912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16011874 (or 16011862 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 78.

The spelling of 114993687990912 in words is "one hundred fourteen trillion, nine hundred ninety-three billion, six hundred eighty-seven million, nine hundred ninety thousand, nine hundred twelve".