114699062016 has 864 divisors, whose sum is σ = 456002991360. Its totient is φ = 28024012800.

The previous prime is 114699061993. The next prime is 114699062039. The reversal of 114699062016 is 610260996411.

It is a happy number.

114699062016 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 9 + 9 + 0 + 620 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (114699061993) and next prime (114699062039).

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63333751 + ... + 63335561.

It is an arithmetic number, because the mean of its divisors is an integer number (527781240).

Almost surely, 2^114699062016 is an apocalyptic number.

114699062016 is a gapful number since it is divisible by the number (16) 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 114699062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228001495680).

114699062016 is an abundant number, since it is smaller than the sum of its proper divisors (341303929344).

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

114699062016 is a wasteful number, since it uses less digits than its factorization.

114699062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 114699062016 in words is "one hundred fourteen billion, six hundred ninety-nine million, sixty-two thousand, sixteen".