21214010145504 has 192 divisors, whose sum is σ = 61931668393728. Its totient is φ = 6303502233600.

The previous prime is 21214010145491. The next prime is 21214010145539. The reversal of 21214010145504 is 40554101041212.

It is a super-3 number, since 3×21214010145504³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96210807 + ... + 96431049.

It is an arithmetic number, because the mean of its divisors is an integer number (322560772884).

Almost surely, 2^{21214010145504} is an apocalyptic number.

21214010145504 is a gapful number since it is divisible by the number (24) 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 21214010145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965834196864).

21214010145504 is an abundant number, since it is smaller than the sum of its proper divisors (40717658248224).

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

21214010145504 is a wasteful number, since it uses less digits than its factorization.

21214010145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222041 (or 222033 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 21214010145504 its reverse (40554101041212), we get a palindrome (61768111186716).

The spelling of 21214010145504 in words is "twenty-one trillion, two hundred fourteen billion, ten million, one hundred forty-five thousand, five hundred four".