23328513601600 has 63 divisors (see below), whose sum is σ = 57403199173687. Its totient is φ = 9331328161280.

The previous prime is 23328513601559. The next prime is 23328513601649. The reversal of 23328513601600 is 610631582332.

The square root of 23328513601600 is 4829960.

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 1960156803136 + 21368356798464 = 1400056^2 + 4622592^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193138026 + ... + 193258774.

Almost surely, 2^{23328513601600} is an apocalyptic number.

23328513601600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23328513601600 is the 4829960-th square number.

It is an amenable number.

23328513601600 is an abundant number, since it is smaller than the sum of its proper divisors (34074685572087).

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

23328513601600 is an frugal number, since it uses more digits than its factorization.

23328513601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241520 (or 120756 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 23328513601600 in words is "twenty-three trillion, three hundred twenty-eight billion, five hundred thirteen million, six hundred one thousand, six hundred".