14744077134000 has 320 divisors, whose sum is σ = 47829296586240. Its totient is φ = 3907430937600.

The previous prime is 14744077133983. The next prime is 14744077134011. The reversal of 14744077134000 is 43177044741.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2462679007 + ... + 2462684993.

It is an arithmetic number, because the mean of its divisors is an integer number (149466551832).

Almost surely, 2^{14744077134000} is an apocalyptic number.

14744077134000 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 14744077134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23914648293120).

14744077134000 is an abundant number, since it is smaller than the sum of its proper divisors (33085219452240).

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

14744077134000 is a wasteful number, since it uses less digits than its factorization.

14744077134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8485 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 14744077134000 in words is "fourteen trillion, seven hundred forty-four billion, seventy-seven million, one hundred thirty-four thousand".