46482537066624 has 768 divisors, whose sum is σ = 154862610739200. Its totient is φ = 13791961497600.

The previous prime is 46482537066521. The next prime is 46482537066629. The reversal of 46482537066624 is 42666073528464.

It is a super-2 number, since 2×46482537066624² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46482537066629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6500141449 + ... + 6500148599.

It is an arithmetic number, because the mean of its divisors is an integer number (201644024400).

Almost surely, 2^{46482537066624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46482537066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77431305369600).

46482537066624 is an abundant number, since it is smaller than the sum of its proper divisors (108380073672576).

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

46482537066624 is a wasteful number, since it uses less digits than its factorization.

46482537066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 46482537066624 in words is "forty-six trillion, four hundred eighty-two billion, five hundred thirty-seven million, sixty-six thousand, six hundred twenty-four".