14149071000 has 384 divisors, whose sum is σ = 51645859200. Its totient is φ = 3483110400.

The previous prime is 14149070989. The next prime is 14149071011. The reversal of 14149071000 is 17094141.

It is an interprime number because it is at equal distance from previous prime (14149070989) and next prime (14149071011).

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, 6001822 + ... + 6004178.

It is an arithmetic number, because the mean of its divisors is an integer number (134494425).

Almost surely, 2^14149071000 is an apocalyptic number.

14149071000 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 14149071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25822929600).

14149071000 is an abundant number, since it is smaller than the sum of its proper divisors (37496788200).

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

14149071000 is a wasteful number, since it uses less digits than its factorization.

14149071000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 14149071000 in words is "fourteen billion, one hundred forty-nine million, seventy-one thousand".