16327415016432 has 240 divisors, whose sum is σ = 49323252276480. Its totient is φ = 5012170555392.

The previous prime is 16327415016421. The next prime is 16327415016443. The reversal of 16327415016432 is 23461051472361.

16327415016432 is a `hidden beast` number, since 1 + 6 + 32 + 74 + 1 + 501 + 6 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16327415016421) and next prime (16327415016443).

It is a super-2 number, since 2×16327415016432² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729777569 + ... + 1729787007.

It is an arithmetic number, because the mean of its divisors is an integer number (205513551152).

Almost surely, 2^{16327415016432} is an apocalyptic number.

16327415016432 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 16327415016432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24661626138240).

16327415016432 is an abundant number, since it is smaller than the sum of its proper divisors (32995837260048).

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

16327415016432 is a wasteful number, since it uses less digits than its factorization.

16327415016432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11512 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 16327415016432 its reverse (23461051472361), we get a palindrome (39788466488793).

The spelling of 16327415016432 in words is "sixteen trillion, three hundred twenty-seven billion, four hundred fifteen million, sixteen thousand, four hundred thirty-two".