16397137893312 has 560 divisors, whose sum is σ = 56573140884480. Its totient is φ = 4640810803200.

The previous prime is 16397137893307. The next prime is 16397137893313. The reversal of 16397137893312 is 21339873179361.

16397137893312 is a `hidden beast` number, since 1 + 6 + 3 + 97 + 137 + 89 + 331 + 2 = 666.

It is a super-2 number, since 2×16397137893312² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16397137893312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16397137893313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126927889 + ... + 127057007.

Almost surely, 2^{16397137893312} is an apocalyptic number.

16397137893312 is a gapful number since it is divisible by the number (12) 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 16397137893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28286570442240).

16397137893312 is an abundant number, since it is smaller than the sum of its proper divisors (40176002991168).

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

16397137893312 is a wasteful number, since it uses less digits than its factorization.

16397137893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129302 (or 129283 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 16397137893312 in words is "sixteen trillion, three hundred ninety-seven billion, one hundred thirty-seven million, eight hundred ninety-three thousand, three hundred twelve".