16372975417344 has 1440 divisors, whose sum is σ = 60121649952000. Its totient is φ = 4266710138880.

The previous prime is 16372975417333. The next prime is 16372975417441. The reversal of 16372975417344 is 44371457927361.

16372975417344 is a `hidden beast` number, since 1 + 6 + 37 + 29 + 7 + 541 + 7 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85722384289 + ... + 85722384479.

It is an arithmetic number, because the mean of its divisors is an integer number (41751145800).

Almost surely, 2^{16372975417344} is an apocalyptic number.

16372975417344 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 16372975417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30060824976000).

16372975417344 is an abundant number, since it is smaller than the sum of its proper divisors (43748674534656).

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

16372975417344 is a wasteful number, since it uses less digits than its factorization.

16372975417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 365 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 16372975417344 in words is "sixteen trillion, three hundred seventy-two billion, nine hundred seventy-five million, four hundred seventeen thousand, three hundred forty-four".