14346393408 has 196 divisors, whose sum is σ = 43682155968. Its totient is φ = 4670265600.

The previous prime is 14346393319. The next prime is 14346393433. The reversal of 14346393408 is 80439364341.

14346393408 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 639 + 3 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2002633 + ... + 2009783.

Almost surely, 2^14346393408 is an apocalyptic number.

14346393408 is a gapful number since it is divisible by the number (18) 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 14346393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841077984).

14346393408 is an abundant number, since it is smaller than the sum of its proper divisors (29335762560).

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

14346393408 is an frugal number, since it uses more digits than its factorization.

14346393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 14346393408 in words is "fourteen billion, three hundred forty-six million, three hundred ninety-three thousand, four hundred eight".