16112462129280 has 2048 divisors, whose sum is σ = 66484327219200. Its totient is φ = 3650863104000.

The previous prime is 16112462129263. The next prime is 16112462129287. The reversal of 16112462129280 is 8292126421161.

16112462129280 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 246 + 2 + 129 + 280 = 666.

It is a super-2 number, since 2×16112462129280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16112462129287) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57339722740 + ... + 57339723020.

It is an arithmetic number, because the mean of its divisors is an integer number (32463050400).

Almost surely, 2^{16112462129280} is an apocalyptic number.

16112462129280 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 16112462129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242163609600).

16112462129280 is an abundant number, since it is smaller than the sum of its proper divisors (50371865089920).

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

16112462129280 is a wasteful number, since it uses less digits than its factorization.

16112462129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 16112462129280 in words is "sixteen trillion, one hundred twelve billion, four hundred sixty-two million, one hundred twenty-nine thousand, two hundred eighty".