114106696704 has 2112 divisors, whose sum is σ = 501813043200. Its totient is φ = 25082265600.

The previous prime is 114106696699. The next prime is 114106696741. The reversal of 114106696704 is 407696601411.

114106696704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 114106696704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3680861169 + ... + 3680861199.

Almost surely, 2^114106696704 is an apocalyptic number.

114106696704 is a gapful number since it is divisible by the number (14) 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 114106696704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250906521600).

114106696704 is an abundant number, since it is smaller than the sum of its proper divisors (387706346496).

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

114106696704 is a wasteful number, since it uses less digits than its factorization.

114106696704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 114106696704 in words is "one hundred fourteen billion, one hundred six million, six hundred ninety-six thousand, seven hundred four".