10645300504602 has 192 divisors, whose sum is σ = 25258872038400. Its totient is φ = 3230405418240.

The previous prime is 10645300504591. The next prime is 10645300504681. The reversal of 10645300504602 is 20640500354601.

10645300504602 is a `hidden beast` number, since 1 + 0 + 6 + 45 + 3 + 0 + 0 + 5 + 0 + 4 + 602 = 666.

10645300504602 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10645300504602² (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 95 ways as a sum of consecutive naturals, for example, 626960149 + ... + 626977127.

It is an arithmetic number, because the mean of its divisors is an integer number (131556625200).

Almost surely, 2^{10645300504602} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645300504602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12629436019200).

10645300504602 is an abundant number, since it is smaller than the sum of its proper divisors (14613571533798).

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

10645300504602 is a wasteful number, since it uses less digits than its factorization.

10645300504602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17953 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10645300504602 in words is "ten trillion, six hundred forty-five billion, three hundred million, five hundred four thousand, six hundred two".