16132986227232 has 768 divisors, whose sum is σ = 55100473344000. Its totient is φ = 4553889113088.

The previous prime is 16132986227209. The next prime is 16132986227353. The reversal of 16132986227232 is 23272268923161.

16132986227232 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 2 + 9 + 8 + 622 + 7 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×16132986227232² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21713305453 + ... + 21713306195.

It is an arithmetic number, because the mean of its divisors is an integer number (71745408000).

Almost surely, 2^{16132986227232} is an apocalyptic number.

16132986227232 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 16132986227232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27550236672000).

16132986227232 is an abundant number, since it is smaller than the sum of its proper divisors (38967487116768).

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

16132986227232 is an equidigital number, since it uses as much as digits as its factorization.

16132986227232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1231 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 16132986227232 in words is "sixteen trillion, one hundred thirty-two billion, nine hundred eighty-six million, two hundred twenty-seven thousand, two hundred thirty-two".