21481388318412 has 192 divisors, whose sum is σ = 61558305177600. Its totient is φ = 6423581136960.

The previous prime is 21481388318393. The next prime is 21481388318497.

21481388318412 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 138 + 83 + 18 + 412 = 666.

21481388318412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21481388318412² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173282683 + ... + 173406605.

It is an arithmetic number, because the mean of its divisors is an integer number (320616172800).

Almost surely, 2^{21481388318412} is an apocalyptic number.

21481388318412 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 21481388318412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30779152588800).

21481388318412 is an abundant number, since it is smaller than the sum of its proper divisors (40076916859188).

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

21481388318412 is a wasteful number, since it uses less digits than its factorization.

21481388318412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125873 (or 125865 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 21481388318412 in words is "twenty-one trillion, four hundred eighty-one billion, three hundred eighty-eight million, three hundred eighteen thousand, four hundred twelve".