114824769159424 has 81 divisors (see below), whose sum is σ = 232024487569693. Its totient is φ = 56713639648256.

The previous prime is 114824769159409. The next prime is 114824769159461. The reversal of 114824769159424 is 424951967428411.

The square root of 114824769159424 is 10715632.

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

It can be written as a sum of positive squares in only one way, i.e., 256003617024 + 114568765542400 = 505968^2 + 10703680^2 .

It is a super-2 number, since 2×114824769159424² (a number of 29 digits) contains 22 as substring.

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 114824769159424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14230355262 + ... + 14230363330.

Almost surely, 2^{114824769159424} is an apocalyptic number.

114824769159424 is the 10715632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114824769159424

114824769159424 is an abundant number, since it is smaller than the sum of its proper divisors (117199718410269).

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

114824769159424 is an frugal number, since it uses more digits than its factorization.

114824769159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16320 (or 8154 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 67.

The spelling of 114824769159424 in words is "one hundred fourteen trillion, eight hundred twenty-four billion, seven hundred sixty-nine million, one hundred fifty-nine thousand, four hundred twenty-four".