16772735340144 has 240 divisors, whose sum is σ = 53865735086592. Its totient is φ = 4772603469312.

The previous prime is 16772735340131. The next prime is 16772735340167. The reversal of 16772735340144 is 44104353727761.

It is a happy number.

16772735340144 is a `hidden beast` number, since 1 + 6 + 77 + 27 + 3 + 534 + 0 + 14 + 4 = 666.

16772735340144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218676207 + ... + 1218689969.

Almost surely, 2^{16772735340144} is an apocalyptic number.

16772735340144 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 16772735340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932867543296).

16772735340144 is an abundant number, since it is smaller than the sum of its proper divisors (37092999746448).

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

16772735340144 is a wasteful number, since it uses less digits than its factorization.

16772735340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18644 (or 18635 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 16772735340144 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred thirty-five million, three hundred forty thousand, one hundred forty-four".