114101244600 has 384 divisors, whose sum is σ = 414219916800. Its totient is φ = 25443532800.

The previous prime is 114101244583. The next prime is 114101244601. The reversal of 114101244600 is 6442101411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101244601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33946920 + ... + 33950280.

It is an arithmetic number, because the mean of its divisors is an integer number (1078697700).

Almost surely, 2^114101244600 is an apocalyptic number.

114101244600 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 114101244600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207109958400).

114101244600 is an abundant number, since it is smaller than the sum of its proper divisors (300118672200).

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

114101244600 is a wasteful number, since it uses less digits than its factorization.

114101244600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 114101244600 in words is "one hundred fourteen billion, one hundred one million, two hundred forty-four thousand, six hundred".