462253544016 has 160 divisors (see below), whose sum is σ = 1322141377536. Its totient is φ = 137991168000.

The previous prime is 462253543987. The next prime is 462253544041. The reversal of 462253544016 is 610445352264.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 53491056 + ... + 53499696.

Almost surely, 2^462253544016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462253544016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661070688768).

462253544016 is an abundant number, since it is smaller than the sum of its proper divisors (859887833520).

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

462253544016 is a wasteful number, since it uses less digits than its factorization.

462253544016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 462253544016 in words is "four hundred sixty-two billion, two hundred fifty-three million, five hundred forty-four thousand, sixteen".