114969775980816 has 135 divisors (see below), whose sum is σ = 322725452917231. Its totient is φ = 38208100127232.

The previous prime is 114969775980779. The next prime is 114969775980817. The reversal of 114969775980816 is 618089577969411.

The square root of 114969775980816 is 10722396.

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

114969775980816 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 6 + 9 + 7 + 7 + 598 + 0 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10560290115600 + 104409485865216 = 3249660^2 + 10218096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114969775980817) 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, 50052143380 + ... + 50052145676.

Almost surely, 2^{114969775980816} is an apocalyptic number.

114969775980816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114969775980816 is the 10722396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114969775980816

114969775980816 is an abundant number, since it is smaller than the sum of its proper divisors (207755676936415).

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

114969775980816 is an frugal number, since it uses more digits than its factorization.

114969775980816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 81.

The spelling of 114969775980816 in words is "one hundred fourteen trillion, nine hundred sixty-nine billion, seven hundred seventy-five million, nine hundred eighty thousand, eight hundred sixteen".