113393533849600 has 351 divisors, whose sum is σ = 284749645353901. Its totient is φ = 44789031731200.

The previous prime is 113393533849579. The next prime is 113393533849633. The reversal of 113393533849600 is 6948335393311.

The square root of 113393533849600 is 10648640.

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

It can be written as a sum of positive squares in only one way, i.e., 40821672185856 + 72571861663744 = 6389184^2 + 8518912^2 .

It is a Duffinian number.

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, 364609433445 + ... + 364609433755.

Almost surely, 2^{113393533849600} is an apocalyptic number.

113393533849600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113393533849600 is the 10648640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113393533849600

113393533849600 is an abundant number, since it is smaller than the sum of its proper divisors (171356111504301).

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

113393533849600 is an frugal number, since it uses more digits than its factorization.

113393533849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 58.

The spelling of 113393533849600 in words is "one hundred thirteen trillion, three hundred ninety-three billion, five hundred thirty-three million, eight hundred forty-nine thousand, six hundred".