114505365715524 has 405 divisors, whose sum is σ = 358863348467351. Its totient is φ = 30776977082880.

The previous prime is 114505365715493. The next prime is 114505365715549. The reversal of 114505365715524 is 425517563505411.

The square root of 114505365715524 is 10700718.

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

114505365715524 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 5 + 36 + 57 + 1 + 552 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66249669572100 + 48255696143424 = 8139390^2 + 6946632^2 .

It is a super-2 number, since 2×114505365715524² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 53482187494 + ... + 53482189634.

Almost surely, 2^{114505365715524} is an apocalyptic number.

114505365715524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114505365715524 is the 10700718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114505365715524

114505365715524 is an abundant number, since it is smaller than the sum of its proper divisors (244357982751827).

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

114505365715524 is an frugal number, since it uses more digits than its factorization.

114505365715524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 114505365715524 in words is "one hundred fourteen trillion, five hundred five billion, three hundred sixty-five million, seven hundred fifteen thousand, five hundred twenty-four".