114122641500 has 864 divisors, whose sum is σ = 449964365760. Its totient is φ = 25147584000.

The previous prime is 114122641483. The next prime is 114122641513. The reversal of 114122641500 is 5146221411.

114122641500 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 2 + 641 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172651170 + ... + 172651830.

It is an arithmetic number, because the mean of its divisors is an integer number (520792090).

Almost surely, 2^114122641500 is an apocalyptic number.

114122641500 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 114122641500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224982182880).

114122641500 is an abundant number, since it is smaller than the sum of its proper divisors (335841724260).

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

114122641500 is a wasteful number, since it uses less digits than its factorization.

114122641500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114122641500 its reverse (5146221411), we get a palindrome (119268862911).

The spelling of 114122641500 in words is "one hundred fourteen billion, one hundred twenty-two million, six hundred forty-one thousand, five hundred".