114046153650 has 288 divisors, whose sum is σ = 362018704320. Its totient is φ = 25375680000.

The previous prime is 114046153597. The next prime is 114046153687. The reversal of 114046153650 is 56351640411.

114046153650 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 615 + 36 + 5 + 0 = 666.

114046153650 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11513700 + ... + 11523600.

It is an arithmetic number, because the mean of its divisors is an integer number (1257009390).

Almost surely, 2^114046153650 is an apocalyptic number.

114046153650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114046153650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181009352160).

114046153650 is an abundant number, since it is smaller than the sum of its proper divisors (247972550670).

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

114046153650 is a wasteful number, since it uses less digits than its factorization.

114046153650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 114046153650 in words is "one hundred fourteen billion, forty-six million, one hundred fifty-three thousand, six hundred fifty".