21352900230144 has 1056 divisors, whose sum is σ = 77335200423936. Its totient is φ = 5752617615360.

The previous prime is 21352900230139. The next prime is 21352900230169. The reversal of 21352900230144 is 44103200925312.

21352900230144 is a `hidden beast` number, since 2 + 135 + 290 + 0 + 230 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21352900230099 and 21352900230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2844394839 + ... + 2844402345.

Almost surely, 2^{21352900230144} is an apocalyptic number.

21352900230144 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 21352900230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38667600211968).

21352900230144 is an abundant number, since it is smaller than the sum of its proper divisors (55982300193792).

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

21352900230144 is an equidigital number, since it uses as much as digits as its factorization.

21352900230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21352900230144 in words is "twenty-one trillion, three hundred fifty-two billion, nine hundred million, two hundred thirty thousand, one hundred forty-four".