463966381242 has 192 divisors, whose sum is σ = 1292757701760. Its totient is φ = 122257755648.

The previous prime is 463966381183. The next prime is 463966381243. The reversal of 463966381242 is 242183669364.

463966381242 is a `hidden beast` number, since 4 + 6 + 396 + 6 + 3 + 8 + 1 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (463966381243) 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 95 ways as a sum of consecutive naturals, for example, 44127378 + ... + 44137890.

It is an arithmetic number, because the mean of its divisors is an integer number (6733113030).

Almost surely, 2^463966381242 is an apocalyptic number.

463966381242 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 463966381242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646378850880).

463966381242 is an abundant number, since it is smaller than the sum of its proper divisors (828791320518).

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

463966381242 is a wasteful number, since it uses less digits than its factorization.

463966381242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11821 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 463966381242 in words is "four hundred sixty-three billion, nine hundred sixty-six million, three hundred eighty-one thousand, two hundred forty-two".