21351455415312 has 320 divisors, whose sum is σ = 62019810978048. Its totient is φ = 6272778240000.

The previous prime is 21351455415281. The next prime is 21351455415337.

21351455415312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21351455415312² (a number of 27 digits) contains 22 as substring.

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, 7526066758 + ... + 7526069594.

Almost surely, 2^{21351455415312} is an apocalyptic number.

21351455415312 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 21351455415312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31009905489024).

21351455415312 is an abundant number, since it is smaller than the sum of its proper divisors (40668355562736).

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

21351455415312 is a wasteful number, since it uses less digits than its factorization.

21351455415312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4132 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 21351455415312 in words is "twenty-one trillion, three hundred fifty-one billion, four hundred fifty-five million, four hundred fifteen thousand, three hundred twelve".