46283444438264 has 96 divisors (see below), whose sum is σ = 100572895848960. Its totient is φ = 19799267980800.

The previous prime is 46283444438249. The next prime is 46283444438279.

46283444438264 is nontrivially palindromic in base 10.

46283444438264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46283444438249) and next prime (46283444438279).

It is a junction number, because it is equal to n+sod(n) for n = 46283444438197 and 46283444438206.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 562285799 + ... + 562368105.

It is an arithmetic number, because the mean of its divisors is an integer number (1047634331760).

Almost surely, 2^{46283444438264} is an apocalyptic number.

46283444438264 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 46283444438264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50286447924480).

46283444438264 is an abundant number, since it is smaller than the sum of its proper divisors (54289451410696).

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

46283444438264 is a wasteful number, since it uses less digits than its factorization.

46283444438264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104469 (or 104448 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 62.

The spelling of 46283444438264 in words is "forty-six trillion, two hundred eighty-three billion, four hundred forty-four million, four hundred thirty-eight thousand, two hundred sixty-four".