16226923900320 has 576 divisors, whose sum is σ = 64382441760000. Its totient is φ = 3644741173248.

The previous prime is 16226923900307. The next prime is 16226923900331. The reversal of 16226923900320 is 2300932962261.

16226923900320 is a `hidden beast` number, since 1 + 6 + 226 + 9 + 2 + 390 + 0 + 32 + 0 = 666.

It is a super-2 number, since 2×16226923900320² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2764850346 + ... + 2764856214.

It is an arithmetic number, because the mean of its divisors is an integer number (111775072500).

Almost surely, 2^{16226923900320} is an apocalyptic number.

16226923900320 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 16226923900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191220880000).

16226923900320 is an abundant number, since it is smaller than the sum of its proper divisors (48155517859680).

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

16226923900320 is a wasteful number, since it uses less digits than its factorization.

16226923900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 16226923900320 in words is "sixteen trillion, two hundred twenty-six billion, nine hundred twenty-three million, nine hundred thousand, three hundred twenty".