114921787544964 has 243 divisors, whose sum is σ = 305937360374373. Its totient is φ = 36372724242624.

The previous prime is 114921787544947. The next prime is 114921787544983. The reversal of 114921787544964 is 469445787129411.

The square root of 114921787544964 is 10720158.

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

114921787544964 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 2 + 1 + 7 + 87 + 54 + 496 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102833593676100 + 12088193868864 = 10140690^2 + 3476808^2 .

It is a super-2 number, since 2×114921787544964² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114921787544892 and 114921787544901.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 102334627707 + ... + 102334628829.

Almost surely, 2^{114921787544964} is an apocalyptic number.

114921787544964 is the 10720158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114921787544964

114921787544964 is an abundant number, since it is smaller than the sum of its proper divisors (191015572829409).

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

114921787544964 is an equidigital number, since it uses as much as digits as its factorization.

114921787544964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1208 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 114921787544964 in words is "one hundred fourteen trillion, nine hundred twenty-one billion, seven hundred eighty-seven million, five hundred forty-four thousand, nine hundred sixty-four".