46234477443264 has 112 divisors (see below), whose sum is σ = 133482143723520. Its totient is φ = 14007022064640.

The previous prime is 46234477443247. The next prime is 46234477443283.

46234477443264 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46234477443264³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46234477443198 and 46234477443207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970177 + ... + 11318655.

Almost surely, 2^{46234477443264} is an apocalyptic number.

46234477443264 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 46234477443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66741071861760).

46234477443264 is an abundant number, since it is smaller than the sum of its proper divisors (87247666280256).

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

46234477443264 is a wasteful number, since it uses less digits than its factorization.

46234477443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352598 (or 5352588 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 60.

The spelling of 46234477443264 in words is "forty-six trillion, two hundred thirty-four billion, four hundred seventy-seven million, four hundred forty-three thousand, two hundred sixty-four".