461982903936 has 256 divisors, whose sum is σ = 1271656488960. Its totient is φ = 148520042496.

The previous prime is 461982903923. The next prime is 461982903937. The reversal of 461982903936 is 639309289164.

It is a self number, because there is not a number n which added to its sum of digits gives 461982903936.

It is not an unprimeable number, because it can be changed into a prime (461982903937) 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 31 ways as a sum of consecutive naturals, for example, 477748125 + ... + 477749091.

It is an arithmetic number, because the mean of its divisors is an integer number (4967408160).

Almost surely, 2^461982903936 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 461982903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635828244480).

461982903936 is an abundant number, since it is smaller than the sum of its proper divisors (809673585024).

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

461982903936 is a wasteful number, since it uses less digits than its factorization.

461982903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 461982903936 in words is "four hundred sixty-one billion, nine hundred eighty-two million, nine hundred three thousand, nine hundred thirty-six".