12603749630976 has 693 divisors, whose sum is σ = 44017922948079. Its totient is φ = 3594936619008.

The previous prime is 12603749630867. The next prime is 12603749630987. The reversal of 12603749630976 is 67903694730621.

The square root of 12603749630976 is 3550176.

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

12603749630976 is a `hidden beast` number, since 1 + 2 + 60 + 374 + 96 + 30 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 21471464155 + ... + 21471464741.

Almost surely, 2^{12603749630976} is an apocalyptic number.

12603749630976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12603749630976 is the 3550176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12603749630976

12603749630976 is an abundant number, since it is smaller than the sum of its proper divisors (31414173317103).

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

12603749630976 is an frugal number, since it uses more digits than its factorization.

12603749630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 12603749630976 in words is "twelve trillion, six hundred three billion, seven hundred forty-nine million, six hundred thirty thousand, nine hundred seventy-six".