13429986966000 has 960 divisors, whose sum is σ = 53567060631552. Its totient is φ = 3106252800000.

The previous prime is 13429986965999. The next prime is 13429986966029. The reversal of 13429986966000 is 66968992431.

13429986966000 is a `hidden beast` number, since 1 + 3 + 429 + 98 + 69 + 6 + 60 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435782592 + ... + 435813408.

Almost surely, 2^{13429986966000} is an apocalyptic number.

13429986966000 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 13429986966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26783530315776).

13429986966000 is an abundant number, since it is smaller than the sum of its proper divisors (40137073665552).

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

13429986966000 is a wasteful number, since it uses less digits than its factorization.

13429986966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30959 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 13429986966000 in words is "thirteen trillion, four hundred twenty-nine billion, nine hundred eighty-six million, nine hundred sixty-six thousand".