463211164962 has 192 divisors, whose sum is σ = 1376728254720. Its totient is φ = 108927700992.

The previous prime is 463211164957. The next prime is 463211164963. The reversal of 463211164962 is 269461112364.

463211164962 is a `hidden beast` number, since 4 + 632 + 1 + 1 + 1 + 6 + 4 + 9 + 6 + 2 = 666.

It is a super-2 number, since 2×463211164962² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (463211164963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91318 + ... + 966830.

It is an arithmetic number, because the mean of its divisors is an integer number (7170459660).

Almost surely, 2^463211164962 is an apocalyptic number.

463211164962 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 463211164962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688364127360).

463211164962 is an abundant number, since it is smaller than the sum of its proper divisors (913517089758).

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

463211164962 is a wasteful number, since it uses less digits than its factorization.

463211164962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875577 (or 875574 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 463211164962 in words is "four hundred sixty-three billion, two hundred eleven million, one hundred sixty-four thousand, nine hundred sixty-two".