14452194900 has 576 divisors, whose sum is σ = 52132663296. Its totient is φ = 3041280000.

The previous prime is 14452194899. The next prime is 14452194917. The reversal of 14452194900 is 949125441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95709825 + ... + 95709975.

It is an arithmetic number, because the mean of its divisors is an integer number (90508096).

Almost surely, 2^14452194900 is an apocalyptic number.

14452194900 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 14452194900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066331648).

14452194900 is an abundant number, since it is smaller than the sum of its proper divisors (37680468396).

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

14452194900 is a wasteful number, since it uses less digits than its factorization.

14452194900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 14452194900 in words is "fourteen billion, four hundred fifty-two million, one hundred ninety-four thousand, nine hundred".