114974011864800 has 216 divisors, whose sum is σ = 442284119582760. Its totient is φ = 27872487705600.

The previous prime is 114974011864799. The next prime is 114974011864813. The reversal of 114974011864800 is 8468110479411.

114974011864800 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 40 + 118 + 6 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 725766835 + ... + 725925234.

It is an arithmetic number, because the mean of its divisors is an integer number (2047611664735).

Almost surely, 2^{114974011864800} is an apocalyptic number.

114974011864800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114974011864800 is an abundant number, since it is smaller than the sum of its proper divisors (327310107717960).

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

114974011864800 is a wasteful number, since it uses less digits than its factorization.

114974011864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451692106 (or 1451692090 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 114974011864800 in words is "one hundred fourteen trillion, nine hundred seventy-four billion, eleven million, eight hundred sixty-four thousand, eight hundred".