13749834969000 has 768 divisors, whose sum is σ = 52112870933760. Its totient is φ = 3370896000000.

The previous prime is 13749834968999. The next prime is 13749834969011. The reversal of 13749834969000 is 96943894731.

13749834969000 is a `hidden beast` number, since 1 + 374 + 98 + 3 + 4 + 96 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×13749834969000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 792900330 + ... + 792917670.

It is an arithmetic number, because the mean of its divisors is an integer number (67855300695).

Almost surely, 2^{13749834969000} is an apocalyptic number.

13749834969000 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 13749834969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26056435466880).

13749834969000 is an abundant number, since it is smaller than the sum of its proper divisors (38363035964760).

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

13749834969000 is a wasteful number, since it uses less digits than its factorization.

13749834969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17641 (or 17615 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 13749834969000 in words is "thirteen trillion, seven hundred forty-nine billion, eight hundred thirty-four million, nine hundred sixty-nine thousand".