114211190016 has 864 divisors, whose sum is σ = 446511636480. Its totient is φ = 27172454400.

The previous prime is 114211189987. The next prime is 114211190029. The reversal of 114211190016 is 610091112411.

It is a congruent number.

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, 104492766 + ... + 104493858.

Almost surely, 2^114211190016 is an apocalyptic number.

114211190016 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 114211190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223255818240).

114211190016 is an abundant number, since it is smaller than the sum of its proper divisors (332300446464).

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

114211190016 is a wasteful number, since it uses less digits than its factorization.

114211190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 114211190016 in words is "one hundred fourteen billion, two hundred eleven million, one hundred ninety thousand, sixteen".