462122200416 has 96 divisors (see below), whose sum is σ = 1291853108448. Its totient is φ = 144141393920.

The previous prime is 462122200369. The next prime is 462122200417. The reversal of 462122200416 is 614002221264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462122200417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 536055 + ... + 1100726.

It is an arithmetic number, because the mean of its divisors is an integer number (13456803213).

Almost surely, 2^462122200416 is an apocalyptic number.

It is an amenable number.

462122200416 is an abundant number, since it is smaller than the sum of its proper divisors (829730908032).

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

462122200416 is a wasteful number, since it uses less digits than its factorization.

462122200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636984 (or 1636976 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 462122200416 in words is "four hundred sixty-two billion, one hundred twenty-two million, two hundred thousand, four hundred sixteen".