1064541864001 has 32 divisors (see below), whose sum is σ = 1338352367616. Its totient is φ = 822565536000.

The previous prime is 1064541863993. The next prime is 1064541864011. The reversal of 1064541864001 is 1004681454601.

It is a cyclic number.

It is not a de Polignac number, because 1064541864001 - 2³ = 1064541863993 is a prime.

It is a super-2 number, since 2×1064541864001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064541864011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13689636 + ... + 13767178.

It is an arithmetic number, because the mean of its divisors is an integer number (41823511488).

Almost surely, 2^{1064541864001} is an apocalyptic number.

1064541864001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1064541864001 is a deficient number, since it is larger than the sum of its proper divisors (273810503615).

1064541864001 is a wasteful number, since it uses less digits than its factorization.

1064541864001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79053.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1064541864001 in words is "one trillion, sixty-four billion, five hundred forty-one million, eight hundred sixty-four thousand, one".