16397618447952 has 480 divisors, whose sum is σ = 58013655459840. Its totient is φ = 4406303784960.

The previous prime is 16397618447941. The next prime is 16397618447981. The reversal of 16397618447952 is 25974481679361.

16397618447952 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 76 + 1 + 84 + 479 + 5 + 2 = 666.

16397618447952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529332688 + ... + 529363664.

It is an arithmetic number, because the mean of its divisors is an integer number (120861782208).

Almost surely, 2^{16397618447952} is an apocalyptic number.

16397618447952 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 16397618447952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29006827729920).

16397618447952 is an abundant number, since it is smaller than the sum of its proper divisors (41616037011888).

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

16397618447952 is a wasteful number, since it uses less digits than its factorization.

16397618447952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32496 (or 32477 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 16397618447952 in words is "sixteen trillion, three hundred ninety-seven billion, six hundred eighteen million, four hundred forty-seven thousand, nine hundred fifty-two".