461516251504 has 80 divisors (see below), whose sum is σ = 1114947138816. Its totient is φ = 179792870400.

The previous prime is 461516251501. The next prime is 461516251519. The reversal of 461516251504 is 405152615164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461516251501) 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 15 ways as a sum of consecutive naturals, for example, 21772399 + ... + 21793585.

Almost surely, 2^461516251504 is an apocalyptic number.

461516251504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461516251504 is an abundant number, since it is smaller than the sum of its proper divisors (653430887312).

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

461516251504 is a wasteful number, since it uses less digits than its factorization.

461516251504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38894 (or 38888 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 461516251504 its reverse (405152615164), we get a palindrome (866668866668).

The spelling of 461516251504 in words is "four hundred sixty-one billion, five hundred sixteen million, two hundred fifty-one thousand, five hundred four".