114813183428640 has 288 divisors, whose sum is σ = 401382695540736. Its totient is φ = 29868116152320.

The previous prime is 114813183428627. The next prime is 114813183428659. The reversal of 114813183428640 is 46824381318411.

It is a happy number.

114813183428640 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 318 + 3 + 4 + 286 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029778977 + ... + 1029890463.

It is an arithmetic number, because the mean of its divisors is an integer number (1393689915072).

Almost surely, 2^{114813183428640} is an apocalyptic number.

114813183428640 is a gapful number since it is divisible by the number (10) 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 114813183428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200691347770368).

114813183428640 is an abundant number, since it is smaller than the sum of its proper divisors (286569512112096).

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

114813183428640 is a wasteful number, since it uses less digits than its factorization.

114813183428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128992 (or 128981 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 114813183428640 in words is "one hundred fourteen trillion, eight hundred thirteen billion, one hundred eighty-three million, four hundred twenty-eight thousand, six hundred forty".