16037292110112 has 768 divisors, whose sum is σ = 59473974067200. Its totient is φ = 4089932144640.

The previous prime is 16037292110101. The next prime is 16037292110113. The reversal of 16037292110112 is 21101129273061.

It is a happy number.

16037292110112 is a `hidden beast` number, since 1 + 60 + 372 + 9 + 2 + 110 + 112 = 666.

It is a super-3 number, since 3×16037292110112³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16037292110113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5208602589 + ... + 5208605667.

It is an arithmetic number, because the mean of its divisors is an integer number (77440070400).

Almost surely, 2^{16037292110112} is an apocalyptic number.

16037292110112 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 16037292110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29736987033600).

16037292110112 is an abundant number, since it is smaller than the sum of its proper divisors (43436681957088).

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

16037292110112 is a wasteful number, since it uses less digits than its factorization.

16037292110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 16037292110112 in words is "sixteen trillion, thirty-seven billion, two hundred ninety-two million, one hundred ten thousand, one hundred twelve".