935142689664 has 128 divisors (see below), whose sum is σ = 2806749504000. Its totient is φ = 306430871040.

The previous prime is 935142689633. The next prime is 935142689669. The reversal of 935142689664 is 466986241539.

935142689664 is a `hidden beast` number, since 9 + 3 + 514 + 26 + 8 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×935142689664³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (935142689669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2089192 + ... + 2496999.

It is an arithmetic number, because the mean of its divisors is an integer number (21927730500).

Almost surely, 2^935142689664 is an apocalyptic number.

It is an amenable number.

935142689664 is an abundant number, since it is smaller than the sum of its proper divisors (1871606814336).

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

935142689664 is a wasteful number, since it uses less digits than its factorization.

935142689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586273 (or 4586255 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 935142689664 in words is "nine hundred thirty-five billion, one hundred forty-two million, six hundred eighty-nine thousand, six hundred sixty-four".