14986049400 has 288 divisors, whose sum is σ = 58922791200. Its totient is φ = 3341721600.

The previous prime is 14986049381. The next prime is 14986049461. The reversal of 14986049400 is 494068941.

14986049400 is a `hidden beast` number, since 14 + 98 + 60 + 494 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 502096 + ... + 531104.

It is an arithmetic number, because the mean of its divisors is an integer number (204593025).

Almost surely, 2^14986049400 is an apocalyptic number.

14986049400 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 14986049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29461395600).

14986049400 is an abundant number, since it is smaller than the sum of its proper divisors (43936741800).

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

14986049400 is a wasteful number, since it uses less digits than its factorization.

14986049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29079 (or 29067 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 14986049400 in words is "fourteen billion, nine hundred eighty-six million, forty-nine thousand, four hundred".