462161935872 has 800 divisors, whose sum is σ = 1711112815104. Its totient is φ = 120932352000.

The previous prime is 462161935831. The next prime is 462161935889. The reversal of 462161935872 is 278539161264.

It is a happy number.

462161935872 is a `hidden beast` number, since 4 + 6 + 216 + 1 + 9 + 358 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 569866347 + ... + 569867157.

Almost surely, 2^462161935872 is an apocalyptic number.

462161935872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462161935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855556407552).

462161935872 is an abundant number, since it is smaller than the sum of its proper divisors (1248950879232).

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

462161935872 is a wasteful number, since it uses less digits than its factorization.

462161935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 987 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 462161935872 in words is "four hundred sixty-two billion, one hundred sixty-one million, nine hundred thirty-five thousand, eight hundred seventy-two".