23018958400 has 63 divisors (see below), whose sum is σ = 56655961491. Its totient is φ = 9205155840.

The previous prime is 23018958367. The next prime is 23018958427. The reversal of 23018958400 is 485981032.

The square root of 23018958400 is 151720.

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 5050092096 + 17968866304 = 71064^2 + 134048^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6066904 + ... + 6070696.

Almost surely, 2^23018958400 is an apocalyptic number.

23018958400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23018958400 is the 151720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23018958400

23018958400 is an abundant number, since it is smaller than the sum of its proper divisors (33637003091).

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

23018958400 is an frugal number, since it uses more digits than its factorization.

23018958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 23018958400 in words is "twenty-three billion, eighteen million, nine hundred fifty-eight thousand, four hundred".