213444000000 has 1701 divisors, whose sum is σ = 983592546573. Its totient is φ = 44352000000.

The previous prime is 213443999971. The next prime is 213444000023. The reversal of 213444000000 is 444312.

The square root of 213444000000 is 462000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 186997434624 + 26446565376 = 432432^2 + 162624^2 .

It is a super-2 number, since 2×213444000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 19403999995 + ... + 19404000005.

Almost surely, 2^213444000000 is an apocalyptic number.

213444000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213444000000 is the 462000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213444000000

213444000000 is an abundant number, since it is smaller than the sum of its proper divisors (770148546573).

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

213444000000 is an frugal number, since it uses more digits than its factorization.

213444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213444000000 its reverse (444312), we get a palindrome (213444444312).

The spelling of 213444000000 in words is "two hundred thirteen billion, four hundred forty-four million", and thus it is an aban number.