21290311744 has 189 divisors, whose sum is σ = 48620148759. Its totient is φ = 9244984320.

The previous prime is 21290311741. The next prime is 21290311753. The reversal of 21290311744 is 44711309212.

The square root of 21290311744 is 145912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14971969600 + 6318342144 = 122360^2 + 79488^2 .

It is not an unprimeable number, because it can be changed into a prime (21290311741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 349021474 + ... + 349021534.

Almost surely, 2^21290311744 is an apocalyptic number.

21290311744 is the 145912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21290311744

21290311744 is an abundant number, since it is smaller than the sum of its proper divisors (27329837015).

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

21290311744 is an equidigital number, since it uses as much as digits as its factorization.

21290311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 21290311744 in words is "twenty-one billion, two hundred ninety million, three hundred eleven thousand, seven hundred forty-four".