13742892197216 has 384 divisors, whose sum is σ = 35168494878720. Its totient is φ = 5140889856000.

The previous prime is 13742892197201. The next prime is 13742892197231. The reversal of 13742892197216 is 61279129824731.

It is an interprime number because it is at equal distance from previous prime (13742892197201) and next prime (13742892197231).

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

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, 889442291 + ... + 889457741.

It is an arithmetic number, because the mean of its divisors is an integer number (91584622080).

Almost surely, 2^{13742892197216} is an apocalyptic number.

13742892197216 is a gapful number since it is divisible by the number (16) 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 13742892197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584247439360).

13742892197216 is an abundant number, since it is smaller than the sum of its proper divisors (21425602681504).

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

13742892197216 is a wasteful number, since it uses less digits than its factorization.

13742892197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738 (or 15730 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 62.

The spelling of 13742892197216 in words is "thirteen trillion, seven hundred forty-two billion, eight hundred ninety-two million, one hundred ninety-seven thousand, two hundred sixteen".