114684822810000 has 1125 divisors, whose sum is σ = 423136767460869. Its totient is φ = 29978626176000.

The previous prime is 114684822809983. The next prime is 114684822810031. The reversal of 114684822810000 is 18228486411.

The square root of 114684822810000 is 10709100.

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

114684822810000 is a `hidden beast` number, since 1 + 1 + 4 + 68 + 482 + 2 + 8 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 81344453421456 + 33340369388544 = 9019116^2 + 5774112^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a super-2 number, since 2×114684822810000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 703587869919 + ... + 703587870081.

Almost surely, 2^{114684822810000} is an apocalyptic number.

114684822810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114684822810000 is the 10709100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114684822810000

114684822810000 is an abundant number, since it is smaller than the sum of its proper divisors (308451944650869).

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

114684822810000 is an frugal number, since it uses more digits than its factorization.

114684822810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 114684822810000 in words is "one hundred fourteen trillion, six hundred eighty-four billion, eight hundred twenty-two million, eight hundred ten thousand".