46242122124264 has 64 divisors (see below), whose sum is σ = 126122143608000. Its totient is φ = 14011957048320.

The previous prime is 46242122124259. The next prime is 46242122124271.

46242122124264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46242122124264² (a number of 28 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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445809 + ... + 9627200.

It is an arithmetic number, because the mean of its divisors is an integer number (1970658493875).

Almost surely, 2^{46242122124264} is an apocalyptic number.

46242122124264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46242122124264 is an abundant number, since it is smaller than the sum of its proper divisors (79880021483736).

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

46242122124264 is a wasteful number, since it uses less digits than its factorization.

46242122124264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090418 (or 10090414 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4624212 and 2124264, that added together give a palindrome (6748476).

The spelling of 46242122124264 in words is "forty-six trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, two hundred sixty-four".