16097441133312 has 1440 divisors, whose sum is σ = 61696835633664. Its totient is φ = 4052577484800.

The previous prime is 16097441133311. The next prime is 16097441133329. The reversal of 16097441133312 is 21333114479061.

16097441133312 is a `hidden beast` number, since 1 + 60 + 9 + 7 + 441 + 133 + 3 + 12 = 666.

It is a super-2 number, since 2×16097441133312² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16097441133311) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30779045883 + ... + 30779046405.

Almost surely, 2^{16097441133312} is an apocalyptic number.

16097441133312 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 16097441133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848417816832).

16097441133312 is an abundant number, since it is smaller than the sum of its proper divisors (45599394500352).

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

16097441133312 is a wasteful number, since it uses less digits than its factorization.

16097441133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 16097441 and 133312, that added together give a triangular number (16230753 = T₅₆₉₇).

The spelling of 16097441133312 in words is "sixteen trillion, ninety-seven billion, four hundred forty-one million, one hundred thirty-three thousand, three hundred twelve".