12353678448400 has 135 divisors (see below), whose sum is σ = 30673417476063. Its totient is φ = 4781225529600.

The previous prime is 12353678448343. The next prime is 12353678448413. The reversal of 12353678448400 is 484487635321.

The square root of 12353678448400 is 3514780.

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 2004229141264 + 10349449307136 = 1415708^2 + 3217056^2 .

It is a super-2 number, since 2×12353678448400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2179160766 + ... + 2179166434.

Almost surely, 2^{12353678448400} is an apocalyptic number.

12353678448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12353678448400 is the 3514780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12353678448400

12353678448400 is an abundant number, since it is smaller than the sum of its proper divisors (18319739027663).

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

12353678448400 is an frugal number, since it uses more digits than its factorization.

12353678448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 12353678448400 in words is "twelve trillion, three hundred fifty-three billion, six hundred seventy-eight million, four hundred forty-eight thousand, four hundred".