462848952192 has 192 divisors, whose sum is σ = 1422498201600. Its totient is φ = 132875043840.

The previous prime is 462848952179. The next prime is 462848952197. The reversal of 462848952192 is 291259848264.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462848952197) 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 23 ways as a sum of consecutive naturals, for example, 620673 + ... + 1144959.

It is an arithmetic number, because the mean of its divisors is an integer number (7408844800).

Almost surely, 2^462848952192 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 462848952192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711249100800).

462848952192 is an abundant number, since it is smaller than the sum of its proper divisors (959649249408).

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

462848952192 is a wasteful number, since it uses less digits than its factorization.

462848952192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524345 (or 524322 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 462848952192 in words is "four hundred sixty-two billion, eight hundred forty-eight million, nine hundred fifty-two thousand, one hundred ninety-two".