16267213152 has 144 divisors (see below), whose sum is σ = 48080148480. Its totient is φ = 5410323072.

The previous prime is 16267213139. The next prime is 16267213153. The reversal of 16267213152 is 25131276261.

16267213152 is a `hidden beast` number, since 1 + 626 + 7 + 2 + 13 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16267213153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3909249 + ... + 3913407.

It is an arithmetic number, because the mean of its divisors is an integer number (333889920).

Almost surely, 2^16267213152 is an apocalyptic number.

16267213152 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 16267213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

16267213152 is an abundant number, since it is smaller than the sum of its proper divisors (31812935328).

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

16267213152 is an equidigital number, since it uses as much as digits as its factorization.

16267213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4667 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 16267213152 in words is "sixteen billion, two hundred sixty-seven million, two hundred thirteen thousand, one hundred fifty-two".