45813376629216 has 576 divisors, whose sum is σ = 162992583936000. Its totient is φ = 12638151525888.

The previous prime is 45813376629211. The next prime is 45813376629257. The reversal of 45813376629216 is 61292667331854.

45813376629216 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 337 + 6 + 6 + 292 + 1 + 6 = 666.

It is a super-3 number, since 3×45813376629216³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45813376629211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77051721 + ... + 77644023.

It is an arithmetic number, because the mean of its divisors is an integer number (282973236000).

Almost surely, 2^{45813376629216} 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 45813376629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496291968000).

45813376629216 is an abundant number, since it is smaller than the sum of its proper divisors (117179207306784).

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

45813376629216 is an equidigital number, since it uses as much as digits as its factorization.

45813376629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592378 (or 592344 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 45813376629216 in words is "forty-five trillion, eight hundred thirteen billion, three hundred seventy-six million, six hundred twenty-nine thousand, two hundred sixteen".