1011642564401 has 8 divisors (see below), whose sum is σ = 1157097591360. Its totient is φ = 866421202608.

The previous prime is 1011642564277. The next prime is 1011642564509. The reversal of 1011642564401 is 1044652461101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011642564401 - 2¹⁴ = 1011642548017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011642563401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58407011 + ... + 58424328.

It is an arithmetic number, because the mean of its divisors is an integer number (144637198920).

Almost surely, 2^{1011642564401} is an apocalyptic number.

It is an amenable number.

1011642564401 is a deficient number, since it is larger than the sum of its proper divisors (145455026959).

1011642564401 is a wasteful number, since it uses less digits than its factorization.

1011642564401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116832583.

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 1011642564401 in words is "one trillion, eleven billion, six hundred forty-two million, five hundred sixty-four thousand, four hundred one".