16367961312 has 288 divisors, whose sum is σ = 51677982720. Its totient is φ = 4893281280.

The previous prime is 16367961283. The next prime is 16367961317. The reversal of 16367961312 is 21316976361.

It is a happy number.

16367961312 is a `hidden beast` number, since 1 + 636 + 7 + 9 + 6 + 1 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16367961312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16367961317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7971678 + ... + 7973730.

It is an arithmetic number, because the mean of its divisors is an integer number (179437440).

Almost surely, 2^16367961312 is an apocalyptic number.

16367961312 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 16367961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838991360).

16367961312 is an abundant number, since it is smaller than the sum of its proper divisors (35310021408).

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

16367961312 is a wasteful number, since it uses less digits than its factorization.

16367961312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 16367961312 in words is "sixteen billion, three hundred sixty-seven million, nine hundred sixty-one thousand, three hundred twelve".