16222109904 has 540 divisors, whose sum is σ = 61833521568. Its totient is φ = 3884474880.

The previous prime is 16222109887. The next prime is 16222109941. The reversal of 16222109904 is 40990122261.

16222109904 is a `hidden beast` number, since 1 + 622 + 21 + 0 + 9 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20612199 + ... + 20612985.

Almost surely, 2^16222109904 is an apocalyptic number.

16222109904 is a gapful number since it is divisible by the number (14) 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 16222109904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30916760784).

16222109904 is an abundant number, since it is smaller than the sum of its proper divisors (45611411664).

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

16222109904 is a wasteful number, since it uses less digits than its factorization.

16222109904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16222109904 in words is "sixteen billion, two hundred twenty-two million, one hundred nine thousand, nine hundred four".