16334161920 has 480 divisors, whose sum is σ = 59935075200. Its totient is φ = 4252925952.

The previous prime is 16334161871. The next prime is 16334161937. The reversal of 16334161920 is 2916143361.

16334161920 is a `hidden beast` number, since 1 + 6 + 3 + 34 + 1 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 38983471 + ... + 38983889.

It is an arithmetic number, because the mean of its divisors is an integer number (124864740).

Almost surely, 2^16334161920 is an apocalyptic number.

16334161920 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 16334161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29967537600).

16334161920 is an abundant number, since it is smaller than the sum of its proper divisors (43600913280).

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

16334161920 is an equidigital number, since it uses as much as digits as its factorization.

16334161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

It can be divided in two parts, 1633416 and 1920, that added together give a triangular number (1635336 = T₁₈₀₈).

The spelling of 16334161920 in words is "sixteen billion, three hundred thirty-four million, one hundred sixty-one thousand, nine hundred twenty".