464911442316 has 84 divisors (see below), whose sum is σ = 1221816284472. Its totient is φ = 154718714304.

The previous prime is 464911442251. The next prime is 464911442381. The reversal of 464911442316 is 613244119464.

464911442316 is a `hidden beast` number, since 4 + 6 + 491 + 144 + 2 + 3 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (464911442251) and next prime (464911442381).

It is a super-2 number, since 2×464911442316² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 27 ways as a sum of consecutive naturals, for example, 1669971 + ... + 1928373.

It is an arithmetic number, because the mean of its divisors is an integer number (14545431958).

Almost surely, 2^464911442316 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 464911442316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610908142236).

464911442316 is an abundant number, since it is smaller than the sum of its proper divisors (756904842156).

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

464911442316 is a wasteful number, since it uses less digits than its factorization.

464911442316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259042 (or 259025 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 464911442316 in words is "four hundred sixty-four billion, nine hundred eleven million, four hundred forty-two thousand, three hundred sixteen".