114116620800 has 1440 divisors, whose sum is σ = 497231425152. Its totient is φ = 22460497920.

The previous prime is 114116620799. The next prime is 114116620811. The reversal of 114116620800 is 8026611411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1009881544 + ... + 1009881656.

Almost surely, 2^114116620800 is an apocalyptic number.

114116620800 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 114116620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248615712576).

114116620800 is an abundant number, since it is smaller than the sum of its proper divisors (383114804352).

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

114116620800 is a wasteful number, since it uses less digits than its factorization.

114116620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 114116620800 in words is "one hundred fourteen billion, one hundred sixteen million, six hundred twenty thousand, eight hundred".