14386016016000 has 1152 divisors, whose sum is σ = 54912978394560. Its totient is φ = 3745879603200.

The previous prime is 14386016015989. The next prime is 14386016016013. The reversal of 14386016016000 is 61061068341.

14386016016000 is a `hidden beast` number, since 1 + 4 + 38 + 6 + 0 + 16 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4513966407 + ... + 4513969593.

Almost surely, 2^{14386016016000} is an apocalyptic number.

14386016016000 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 14386016016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27456489197280).

14386016016000 is an abundant number, since it is smaller than the sum of its proper divisors (40526962378560).

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

14386016016000 is an frugal number, since it uses more digits than its factorization.

14386016016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14386016016000 in words is "fourteen trillion, three hundred eighty-six billion, sixteen million, sixteen thousand".