14950960200 has 288 divisors, whose sum is σ = 55294630560. Its totient is φ = 3590092800.

The previous prime is 14950960151. The next prime is 14950960201. The reversal of 14950960200 is 206905941.

14950960200 is a `hidden beast` number, since 1 + 49 + 5 + 0 + 9 + 602 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14950960201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2115072 + ... + 2122128.

It is an arithmetic number, because the mean of its divisors is an integer number (191995245).

Almost surely, 2^14950960200 is an apocalyptic number.

14950960200 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 14950960200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27647315280).

14950960200 is an abundant number, since it is smaller than the sum of its proper divisors (40343670360).

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

14950960200 is a wasteful number, since it uses less digits than its factorization.

14950960200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 14950960200 in words is "fourteen billion, nine hundred fifty million, nine hundred sixty thousand, two hundred".