10023213456 has 165 divisors, whose sum is σ = 29415359019. Its totient is φ = 3308633568.

The previous prime is 10023213451. The next prime is 10023213463. The reversal of 10023213456 is 65431232001.

The square root of 10023213456 is 100116.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10023213451) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 97312701 + ... + 97312803.

Almost surely, 2^10023213456 is an apocalyptic number.

10023213456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10023213456 is the 100116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023213456

10023213456 is an abundant number, since it is smaller than the sum of its proper divisors (19392145563).

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

10023213456 is an frugal number, since it uses more digits than its factorization.

10023213456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10023213456 its reverse (65431232001), we get a palindrome (75454445457).

The spelling of 10023213456 in words is "ten billion, twenty-three million, two hundred thirteen thousand, four hundred fifty-six".