16267249152 has 720 divisors, whose sum is σ = 62262300672. Its totient is φ = 3971358720.

The previous prime is 16267249147. The next prime is 16267249189. The reversal of 16267249152 is 25194276261.

16267249152 is a `hidden beast` number, since 1 + 626 + 7 + 2 + 4 + 9 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16267249098 and 16267249107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128088513 + ... + 128088639.

Almost surely, 2^16267249152 is an apocalyptic number.

16267249152 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 16267249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31131150336).

16267249152 is an abundant number, since it is smaller than the sum of its proper divisors (45995051520).

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

16267249152 is a wasteful number, since it uses less digits than its factorization.

16267249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 16267249152 in words is "sixteen billion, two hundred sixty-seven million, two hundred forty-nine thousand, one hundred fifty-two".