114106644810 has 448 divisors, whose sum is σ = 343593031680. Its totient is φ = 27159390720.

The previous prime is 114106644797. The next prime is 114106644823. The reversal of 114106644810 is 18446601411.

It is a happy number.

114106644810 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 6 + 644 + 8 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114106644797) and next prime (114106644823).

It is a super-2 number, since 2×114106644810² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 150734952 + ... + 150735708.

Almost surely, 2^114106644810 is an apocalyptic number.

114106644810 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 114106644810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171796515840).

114106644810 is an abundant number, since it is smaller than the sum of its proper divisors (229486386870).

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

114106644810 is a wasteful number, since it uses less digits than its factorization.

114106644810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 114106644810 in words is "one hundred fourteen billion, one hundred six million, six hundred forty-four thousand, eight hundred ten".