21451233215412 has 1152 divisors, whose sum is σ = 77473762329600. Its totient is φ = 4826146406400.

The previous prime is 21451233215389. The next prime is 21451233215413.

21451233215412 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 1 + 23 + 3 + 215 + 412 = 666.

21451233215412 is nontrivially palindromic in base 10.

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 (21451233215413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4865326264 + ... + 4865330672.

It is an arithmetic number, because the mean of its divisors is an integer number (67251529800).

Almost surely, 2^{21451233215412} is an apocalyptic number.

21451233215412 is a gapful number since it is divisible by the number (22) 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 21451233215412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38736881164800).

21451233215412 is an abundant number, since it is smaller than the sum of its proper divisors (56022529114188).

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

21451233215412 is a wasteful number, since it uses less digits than its factorization.

21451233215412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4612 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 21451233215412 in words is "twenty-one trillion, four hundred fifty-one billion, two hundred thirty-three million, two hundred fifteen thousand, four hundred twelve".