114030022717920 has 384 divisors, whose sum is σ = 377272476016128. Its totient is φ = 28924664832000.

The previous prime is 114030022717903. The next prime is 114030022717943. The reversal of 114030022717920 is 29717220030411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126714679 + ... + 127611401.

It is an arithmetic number, because the mean of its divisors is an integer number (982480406292).

Almost surely, 2^{114030022717920} is an apocalyptic number.

114030022717920 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 114030022717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188636238008064).

114030022717920 is an abundant number, since it is smaller than the sum of its proper divisors (263242453298208).

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

114030022717920 is a wasteful number, since it uses less digits than its factorization.

114030022717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896946 (or 896938 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 114030022717920 in words is "one hundred fourteen trillion, thirty billion, twenty-two million, seven hundred seventeen thousand, nine hundred twenty".