114628315104 has 240 divisors, whose sum is σ = 366313812480. Its totient is φ = 35030257920.

The previous prime is 114628315097. The next prime is 114628315121. The reversal of 114628315104 is 401513826411.

114628315104 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 83 + 1 + 510 + 4 = 666.

114628315104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1489147 + ... + 1564229.

It is an arithmetic number, because the mean of its divisors is an integer number (1526307552).

Almost surely, 2^114628315104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114628315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183156906240).

114628315104 is an abundant number, since it is smaller than the sum of its proper divisors (251685497376).

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

114628315104 is a wasteful number, since it uses less digits than its factorization.

114628315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75155 (or 75138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 114628315104 in words is "one hundred fourteen billion, six hundred twenty-eight million, three hundred fifteen thousand, one hundred four".