12583081885696 has 405 divisors, whose sum is σ = 30370416475581. Its totient is φ = 5197962018816.

The previous prime is 12583081885669. The next prime is 12583081885697. The reversal of 12583081885696 is 69658818038521.

The square root of 12583081885696 is 3547264.

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., 11259514470400 + 1323567415296 = 3355520^2 + 1150464^2 .

It is not an unprimeable number, because it can be changed into a prime (12583081885697) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117598896075 + ... + 117598896181.

Almost surely, 2^{12583081885696} is an apocalyptic number.

12583081885696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12583081885696 is the 3547264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12583081885696

12583081885696 is an abundant number, since it is smaller than the sum of its proper divisors (17787334589885).

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

12583081885696 is an frugal number, since it uses more digits than its factorization.

12583081885696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 70.

The spelling of 12583081885696 in words is "twelve trillion, five hundred eighty-three billion, eighty-one million, eight hundred eighty-five thousand, six hundred ninety-six".