45383954616 has 1280 divisors, whose sum is σ = 183908229120. Its totient is φ = 10077696000.

The previous prime is 45383954587. The next prime is 45383954617. The reversal of 45383954616 is 61645938354.

45383954616 is a `hidden beast` number, since 4 + 5 + 3 + 83 + 9 + 546 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45383954617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 743999226 + ... + 743999286.

It is an arithmetic number, because the mean of its divisors is an integer number (143678304).

Almost surely, 2^45383954616 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 45383954616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91954114560).

45383954616 is an abundant number, since it is smaller than the sum of its proper divisors (138524274504).

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

45383954616 is a wasteful number, since it uses less digits than its factorization.

45383954616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

It can be divided in two parts, 45383 and 954616, that added together give a palindrome (999999).

The spelling of 45383954616 in words is "forty-five billion, three hundred eighty-three million, nine hundred fifty-four thousand, six hundred sixteen".