16772774022432 has 144 divisors (see below), whose sum is σ = 50244353752320. Its totient is φ = 5292827712000.

The previous prime is 16772774022383. The next prime is 16772774022437. The reversal of 16772774022432 is 23422047727761.

16772774022432 is a `hidden beast` number, since 1 + 67 + 72 + 77 + 402 + 2 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16772774022437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6447057 + ... + 8666607.

It is an arithmetic number, because the mean of its divisors is an integer number (348919123280).

Almost surely, 2^{16772774022432} is an apocalyptic number.

16772774022432 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 16772774022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25122176876160).

16772774022432 is an abundant number, since it is smaller than the sum of its proper divisors (33471579729888).

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

16772774022432 is a wasteful number, since it uses less digits than its factorization.

16772774022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220967 (or 2220956 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 16772774022432 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred seventy-four million, twenty-two thousand, four hundred thirty-two".