16638772353504 has 192 divisors, whose sum is σ = 52865745762816. Its totient is φ = 4473176408064.

The previous prime is 16638772353503. The next prime is 16638772353557. The reversal of 16638772353504 is 40535327783661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16638772353503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46167667 + ... + 46526669.

It is an arithmetic number, because the mean of its divisors is an integer number (275342425848).

Almost surely, 2^{16638772353504} is an apocalyptic number.

16638772353504 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 16638772353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26432872881408).

16638772353504 is an abundant number, since it is smaller than the sum of its proper divisors (36226973409312).

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

16638772353504 is a wasteful number, since it uses less digits than its factorization.

16638772353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363097 (or 363089 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 16638772353504 in words is "sixteen trillion, six hundred thirty-eight billion, seven hundred seventy-two million, three hundred fifty-three thousand, five hundred four".