14654013000 has 512 divisors, whose sum is σ = 53374464000. Its totient is φ = 3311616000.

The previous prime is 14654012999. The next prime is 14654013001. The reversal of 14654013000 is 31045641.

It is an interprime number because it is at equal distance from previous prime (14654012999) and next prime (14654013001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14654013001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32636776 + ... + 32637224.

It is an arithmetic number, because the mean of its divisors is an integer number (104247000).

Almost surely, 2^14654013000 is an apocalyptic number.

14654013000 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 14654013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26687232000).

14654013000 is an abundant number, since it is smaller than the sum of its proper divisors (38720451000).

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

14654013000 is a wasteful number, since it uses less digits than its factorization.

14654013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14654013000 its reverse (31045641), we get a palindrome (14685058641).

The spelling of 14654013000 in words is "fourteen billion, six hundred fifty-four million, thirteen thousand".