23461048900 has 135 divisors (see below), whose sum is σ = 55132209811. Its totient is φ = 8665745920.

The previous prime is 23461048861. The next prime is 23461048921. The reversal of 23461048900 is 984016432.

The square root of 23461048900 is 153170.

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

It can be written as a sum of positive squares in 22 ways, for example, as 14235830596 + 9225218304 = 119314^2 + 96048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23461048900.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 442661274 + ... + 442661326.

Almost surely, 2^23461048900 is an apocalyptic number.

23461048900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23461048900 is the 153170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23461048900

23461048900 is an abundant number, since it is smaller than the sum of its proper divisors (31671160911).

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

23461048900 is an frugal number, since it uses more digits than its factorization.

23461048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 23461048900 in words is "twenty-three billion, four hundred sixty-one million, forty-eight thousand, nine hundred".