10545646220064 has 96 divisors (see below), whose sum is σ = 32567436901440. Its totient is φ = 3308438025216.

The previous prime is 10545646220033. The next prime is 10545646220071. The reversal of 10545646220064 is 46002264654501.

10545646220064 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 564 + 6 + 2 + 20 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10545646220064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358973814 + ... + 359003189.

It is an arithmetic number, because the mean of its divisors is an integer number (339244134390).

Almost surely, 2^{10545646220064} is an apocalyptic number.

It is an amenable number.

10545646220064 is an abundant number, since it is smaller than the sum of its proper divisors (22021790681376).

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

10545646220064 is a wasteful number, since it uses less digits than its factorization.

10545646220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717977039 (or 717977025 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 10545646220064 in words is "ten trillion, five hundred forty-five billion, six hundred forty-six million, two hundred twenty thousand, sixty-four".