114090713091264 has 112 divisors (see below), whose sum is σ = 371526168328448. Its totient is φ = 30089858393088.

The previous prime is 114090713091263. The next prime is 114090713091301. The reversal of 114090713091264 is 462190317090411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114090713091263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264941122 + ... + 3264976065.

It is an arithmetic number, because the mean of its divisors is an integer number (3317197931504).

Almost surely, 2^{114090713091264} is an apocalyptic number.

114090713091264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114090713091264 is an abundant number, since it is smaller than the sum of its proper divisors (257435455237184).

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

114090713091264 is a wasteful number, since it uses less digits than its factorization.

114090713091264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529917222 (or 6529917212 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 114090713091264 in words is "one hundred fourteen trillion, ninety billion, seven hundred thirteen million, ninety-one thousand, two hundred sixty-four".