461087886336 has 440 divisors, whose sum is σ = 1564322378304. Its totient is φ = 119742013440.

The previous prime is 461087886307. The next prime is 461087886383. The reversal of 461087886336 is 633688780164.

It is a self number, because there is not a number n which added to its sum of digits gives 461087886336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81131751 + ... + 81137433.

Almost surely, 2^461087886336 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 461087886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782161189152).

461087886336 is an abundant number, since it is smaller than the sum of its proper divisors (1103234491968).

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

461087886336 is an equidigital number, since it uses as much as digits as its factorization.

461087886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 461087886336 in words is "four hundred sixty-one billion, eighty-seven million, eight hundred eighty-six thousand, three hundred thirty-six".