114875609744016 has 135 divisors (see below), whose sum is σ = 353380029741193. Its totient is φ = 34810362111360.

The previous prime is 114875609743997. The next prime is 114875609744017. The reversal of 114875609744016 is 610447906578411.

It is a happy number.

The square root of 114875609744016 is 10718004.

It is a perfect power (a square), and thus also a powerful number.

114875609744016 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 7 + 5 + 609 + 7 + 4 + 4 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70313256090000 + 44562353654016 = 8385300^2 + 6675504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114875609744017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1414735930 + ... + 1414817126.

Almost surely, 2^{114875609744016} is an apocalyptic number.

114875609744016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114875609744016 is the 10718004-th square number.

It is an amenable number.

114875609744016 is an abundant number, since it is smaller than the sum of its proper divisors (238504419997177).

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

114875609744016 is an frugal number, since it uses more digits than its factorization.

114875609744016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162430 (or 81213 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 114875609744016 in words is "one hundred fourteen trillion, eight hundred seventy-five billion, six hundred nine million, seven hundred forty-four thousand, sixteen".