14492934000 has 480 divisors, whose sum is σ = 55042191360. Its totient is φ = 3540672000.

The previous prime is 14492933999. The next prime is 14492934017. The reversal of 14492934000 is 43929441.

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 95 ways as a sum of consecutive naturals, for example, 10601317 + ... + 10602683.

It is an arithmetic number, because the mean of its divisors is an integer number (114671232).

Almost surely, 2^14492934000 is an apocalyptic number.

14492934000 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 14492934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521095680).

14492934000 is an abundant number, since it is smaller than the sum of its proper divisors (40549257360).

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

14492934000 is a wasteful number, since it uses less digits than its factorization.

14492934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 144929 and 34000, that added together give a square (178929 = 423²).

The spelling of 14492934000 in words is "fourteen billion, four hundred ninety-two million, nine hundred thirty-four thousand".