114587947339776 has 351 divisors, whose sum is σ = 334379873438091. Its totient is φ = 37808904978432.

The previous prime is 114587947339757. The next prime is 114587947339783. The reversal of 114587947339776 is 677933749785411.

The square root of 114587947339776 is 10704576.

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

114587947339776 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 8 + 7 + 94 + 73 + 397 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114587947339695 and 114587947339704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 261020380965 + ... + 261020381403.

Almost surely, 2^{114587947339776} is an apocalyptic number.

114587947339776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114587947339776 is the 10704576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114587947339776

114587947339776 is an abundant number, since it is smaller than the sum of its proper divisors (219791926098315).

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

114587947339776 is an frugal number, since it uses more digits than its factorization.

114587947339776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 571 counting only the distinct ones).

The product of its digits is 6721263360, while the sum is 81.

The spelling of 114587947339776 in words is "one hundred fourteen trillion, five hundred eighty-seven billion, nine hundred forty-seven million, three hundred thirty-nine thousand, seven hundred seventy-six".