114324167293504 has 189 divisors, whose sum is σ = 265112881723011. Its totient is φ = 48772047717120.

The previous prime is 114324167293499. The next prime is 114324167293547. The reversal of 114324167293504 is 405392761423411.

The square root of 114324167293504 is 10692248.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 258068097507 + ... + 258068097949.

Almost surely, 2^{114324167293504} is an apocalyptic number.

114324167293504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114324167293504 is the 10692248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114324167293504

114324167293504 is an abundant number, since it is smaller than the sum of its proper divisors (150788714429507).

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

114324167293504 is an frugal number, since it uses more digits than its factorization.

114324167293504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 114324167293504 in words is "one hundred fourteen trillion, three hundred twenty-four billion, one hundred sixty-seven million, two hundred ninety-three thousand, five hundred four".