14142758500 has 192 divisors, whose sum is σ = 34498166976. Its totient is φ = 5031936000.

The previous prime is 14142758459. The next prime is 14142758501. The reversal of 14142758500 is 585724141.

It can be written as a sum of positive squares in 32 ways, for example, as 12976399396 + 1166359104 = 113914^2 + 34152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14142758500.

It is not an unprimeable number, because it can be changed into a prime (14142758501) 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 63 ways as a sum of consecutive naturals, for example, 21014164 + ... + 21014836.

It is an arithmetic number, because the mean of its divisors is an integer number (179677953).

Almost surely, 2^14142758500 is an apocalyptic number.

14142758500 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 14142758500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249083488).

14142758500 is an abundant number, since it is smaller than the sum of its proper divisors (20355408476).

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

14142758500 is a wasteful number, since it uses less digits than its factorization.

14142758500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 14142758500 in words is "fourteen billion, one hundred forty-two million, seven hundred fifty-eight thousand, five hundred".