114866155514880 has 2112 divisors, whose sum is σ = 521916956540928. Its totient is φ = 22648728453120.

The previous prime is 114866155514833. The next prime is 114866155514983. The reversal of 114866155514880 is 88415551668411.

114866155514880 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 6 + 61 + 55 + 514 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 10364169819 + ... + 10364180901.

Almost surely, 2^{114866155514880} is an apocalyptic number.

114866155514880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114866155514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260958478270464).

114866155514880 is an abundant number, since it is smaller than the sum of its proper divisors (407050801026048).

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

114866155514880 is a wasteful number, since it uses less digits than its factorization.

114866155514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 63.

The spelling of 114866155514880 in words is "one hundred fourteen trillion, eight hundred sixty-six billion, one hundred fifty-five million, five hundred fourteen thousand, eight hundred eighty".