45365959296 has 768 divisors, whose sum is σ = 163257120000. Its totient is φ = 12062711808.

The previous prime is 45365959291. The next prime is 45365959313. The reversal of 45365959296 is 69295956354.

45365959296 is a `hidden beast` number, since 4 + 5 + 36 + 5 + 9 + 592 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45365959291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423980875 + ... + 423980981.

It is an arithmetic number, because the mean of its divisors is an integer number (212574375).

Almost surely, 2^45365959296 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 45365959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81628560000).

45365959296 is an abundant number, since it is smaller than the sum of its proper divisors (117891160704).

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

45365959296 is a wasteful number, since it uses less digits than its factorization.

45365959296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 45365959296 in words is "forty-five billion, three hundred sixty-five million, nine hundred fifty-nine thousand, two hundred ninety-six".