401645011233564 has 72 divisors (see below), whose sum is σ = 1221376642362240. Its totient is φ = 108715942888992.

The previous prime is 401645011233541. The next prime is 401645011233581. The reversal of 401645011233564 is 465332110546104.

401645011233564 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 4 + 50 + 1 + 1 + 2 + 33 + 564 = 666.

It is a super-2 number, since 2×401645011233564² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41942874414 + ... + 41942883989.

Almost surely, 2^{401645011233564} is an apocalyptic number.

It is an amenable number.

401645011233564 is an abundant number, since it is smaller than the sum of its proper divisors (819731631128676).

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

401645011233564 is a wasteful number, since it uses less digits than its factorization.

401645011233564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83885758439 (or 83885758434 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 401645011233564 its reverse (465332110546104), we get a palindrome (866977121779668).

The spelling of 401645011233564 in words is "four hundred one trillion, six hundred forty-five billion, eleven million, two hundred thirty-three thousand, five hundred sixty-four".