16223511601440 has 1152 divisors, whose sum is σ = 66441745843200. Its totient is φ = 3552642662400.

The previous prime is 16223511601439. The next prime is 16223511601477. The reversal of 16223511601440 is 4410611532261.

16223511601440 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 3 + 5 + 1 + 1 + 601 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16223511601395 and 16223511601404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4703828836 + ... + 4703832284.

It is an arithmetic number, because the mean of its divisors is an integer number (57675126600).

Almost surely, 2^{16223511601440} is an apocalyptic number.

16223511601440 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 16223511601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33220872921600).

16223511601440 is an abundant number, since it is smaller than the sum of its proper divisors (50218234241760).

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

16223511601440 is a wasteful number, since it uses less digits than its factorization.

16223511601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 162235 and 11601440, that added together give a triangular number (11763675 = T₄₈₅₀).

The spelling of 16223511601440 in words is "sixteen trillion, two hundred twenty-three billion, five hundred eleven million, six hundred one thousand, four hundred forty".