114257612106 has 144 divisors (see below), whose sum is σ = 278950718592. Its totient is φ = 33761133120.

The previous prime is 114257612093. The next prime is 114257612177. The reversal of 114257612106 is 601216752411.

114257612106 is a `hidden beast` number, since 1 + 1 + 4 + 25 + 7 + 612 + 10 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19274515 + ... + 19280441.

It is an arithmetic number, because the mean of its divisors is an integer number (1937157768).

Almost surely, 2^114257612106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114257612106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139475359296).

114257612106 is an abundant number, since it is smaller than the sum of its proper divisors (164693106486).

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

114257612106 is a wasteful number, since it uses less digits than its factorization.

114257612106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 114257612106 in words is "one hundred fourteen billion, two hundred fifty-seven million, six hundred twelve thousand, one hundred six".