46082624666442 has 128 divisors (see below), whose sum is σ = 113598672445440. Its totient is φ = 12136044602880.

The previous prime is 46082624666437. The next prime is 46082624666443. The reversal of 46082624666442 is 24466642628064.

It is a happy number.

It is a super-2 number, since 2×46082624666442² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (46082624666443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147198534 + ... + 1147238702.

It is an arithmetic number, because the mean of its divisors is an integer number (887489628480).

Almost surely, 2^{46082624666442} is an apocalyptic number.

46082624666442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46082624666442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56799336222720).

46082624666442 is an abundant number, since it is smaller than the sum of its proper divisors (67516047778998).

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

46082624666442 is a wasteful number, since it uses less digits than its factorization.

46082624666442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43188.

The product of its (nonzero) digits is 127401984, while the sum is 60.

The spelling of 46082624666442 in words is "forty-six trillion, eighty-two billion, six hundred twenty-four million, six hundred sixty-six thousand, four hundred forty-two".