114657011300340 has 144 divisors (see below), whose sum is σ = 356300361930240. Its totient is φ = 29827400578560.

The previous prime is 114657011300333. The next prime is 114657011300393. The reversal of 114657011300340 is 43003110756411.

114657011300340 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 7 + 0 + 1 + 1 + 300 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114657011300295 and 114657011300304.

It is a congruent number.

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, 107505177 + ... + 108566463.

It is an arithmetic number, because the mean of its divisors is an integer number (2474308068960).

Almost surely, 2^{114657011300340} is an apocalyptic number.

114657011300340 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 114657011300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178150180965120).

114657011300340 is an abundant number, since it is smaller than the sum of its proper divisors (241643350629900).

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

114657011300340 is a wasteful number, since it uses less digits than its factorization.

114657011300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075982 (or 1075977 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 114657011300340 in words is "one hundred fourteen trillion, six hundred fifty-seven billion, eleven million, three hundred thousand, three hundred forty".