12633334416 has 60 divisors (see below), whose sum is σ = 35413157520. Its totient is φ = 4204278720.

The previous prime is 12633334411. The next prime is 12633334433. The reversal of 12633334416 is 61443333621.

12633334416 is a `hidden beast` number, since 1 + 2 + 633 + 3 + 3 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×12633334416² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12633334411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18271 + ... + 160001.

It is an arithmetic number, because the mean of its divisors is an integer number (590219292).

Almost surely, 2^12633334416 is an apocalyptic number.

12633334416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12633334416 is an abundant number, since it is smaller than the sum of its proper divisors (22779823104).

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

12633334416 is a wasteful number, since it uses less digits than its factorization.

12633334416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142364 (or 142355 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 12633334416 in words is "twelve billion, six hundred thirty-three million, three hundred thirty-four thousand, four hundred sixteen".