114756970651024 has 45 divisors (see below), whose sum is σ = 240761632638243. Its totient is φ = 52964498585856.

The previous prime is 114756970651021. The next prime is 114756970651079. The reversal of 114756970651024 is 420156079657411.

The square root of 114756970651024 is 10712468.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38445704211600 + 76311266439424 = 6200460^2 + 8735632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114756970651024.

It is not an unprimeable number, because it can be changed into a prime (114756970651021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 556945332 + ... + 557151340.

Almost surely, 2^{114756970651024} is an apocalyptic number.

114756970651024 is the 10712468-th square number.

It is an amenable number.

114756970651024 is an abundant number, since it is smaller than the sum of its proper divisors (126004661987219).

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

114756970651024 is an frugal number, since it uses more digits than its factorization.

114756970651024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412052 (or 206024 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 114756970651024 in words is "one hundred fourteen trillion, seven hundred fifty-six billion, nine hundred seventy million, six hundred fifty-one thousand, twenty-four".