46213788731264 has 192 divisors, whose sum is σ = 117357924902400. Its totient is φ = 17924624686080.

The previous prime is 46213788731261. The next prime is 46213788731291.

46213788731264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46213788731264² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46213788731197 and 46213788731206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46213788731261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13883327 + ... + 16887105.

It is an arithmetic number, because the mean of its divisors is an integer number (611239192200).

Almost surely, 2^{46213788731264} is an apocalyptic number.

46213788731264 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 46213788731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58678962451200).

46213788731264 is an abundant number, since it is smaller than the sum of its proper divisors (71144136171136).

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

46213788731264 is a wasteful number, since it uses less digits than its factorization.

46213788731264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004041 (or 3004022 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The spelling of 46213788731264 in words is "forty-six trillion, two hundred thirteen billion, seven hundred eighty-eight million, seven hundred thirty-one thousand, two hundred sixty-four".