468057306699072 has 84 divisors (see below), whose sum is σ = 1343959584076980. Its totient is φ = 155744903350272.

The previous prime is 468057306699049. The next prime is 468057306699089. The reversal of 468057306699072 is 270996603750864.

468057306699072 is a `hidden beast` number, since 4 + 68 + 0 + 57 + 306 + 69 + 90 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188440851845376 + 279616454853696 = 13727376^2 + 16721736^2 .

It is a super-2 number, since 2×468057306699072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713731563 + ... + 714387050.

Almost surely, 2^{468057306699072} is an apocalyptic number.

It is an amenable number.

468057306699072 is an abundant number, since it is smaller than the sum of its proper divisors (875902277377908).

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

468057306699072 is a wasteful number, since it uses less digits than its factorization.

468057306699072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428119200 (or 1428119187 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 468057306699072 in words is "four hundred sixty-eight trillion, fifty-seven billion, three hundred six million, six hundred ninety-nine thousand, seventy-two".