46276488467264 has 112 divisors (see below), whose sum is σ = 101472317654400. Its totient is φ = 20763798528000.

The previous prime is 46276488467239. The next prime is 46276488467273.

46276488467264 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46276488467191 and 46276488467200.

It is a congruent number.

It is an unprimeable number.

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, 37041797 + ... + 38270715.

It is an arithmetic number, because the mean of its divisors is an integer number (906002836200).

Almost surely, 2^{46276488467264} is an apocalyptic number.

46276488467264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46276488467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50736158827200).

46276488467264 is an abundant number, since it is smaller than the sum of its proper divisors (55195829187136).

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

46276488467264 is a wasteful number, since it uses less digits than its factorization.

46276488467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229632 (or 1229622 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 74.

The spelling of 46276488467264 in words is "forty-six trillion, two hundred seventy-six billion, four hundred eighty-eight million, four hundred sixty-seven thousand, two hundred sixty-four".