14980291200 has 1536 divisors, whose sum is σ = 69938380800. Its totient is φ = 3052339200.

The previous prime is 14980291199. The next prime is 14980291309. The reversal of 14980291200 is 219208941.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 318729577 + ... + 318729623.

It is an arithmetic number, because the mean of its divisors is an integer number (45532800).

Almost surely, 2^14980291200 is an apocalyptic number.

14980291200 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 14980291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969190400).

14980291200 is an abundant number, since it is smaller than the sum of its proper divisors (54958089600).

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

14980291200 is a wasteful number, since it uses less digits than its factorization.

14980291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 14980291200 its sum of digits (36), we get a square (14980291236 = 122394²).

The spelling of 14980291200 in words is "fourteen billion, nine hundred eighty million, two hundred ninety-one thousand, two hundred".