114514923900 has 216 divisors, whose sum is σ = 359434744704. Its totient is φ = 28136659200.

The previous prime is 114514923839. The next prime is 114514923907. The reversal of 114514923900 is 9329415411.

It is a super-2 number, since 2×114514923900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114514923907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32801155 + ... + 32804645.

It is an arithmetic number, because the mean of its divisors is an integer number (1664049744).

Almost surely, 2^114514923900 is an apocalyptic number.

114514923900 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 114514923900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179717372352).

114514923900 is an abundant number, since it is smaller than the sum of its proper divisors (244919820804).

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

114514923900 is a wasteful number, since it uses less digits than its factorization.

114514923900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 114514923900 in words is "one hundred fourteen billion, five hundred fourteen million, nine hundred twenty-three thousand, nine hundred".