45533546352 has 480 divisors, whose sum is σ = 155990016000. Its totient is φ = 12377240064.

The previous prime is 45533546327. The next prime is 45533546371. The reversal of 45533546352 is 25364533554.

45533546352 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 3 + 5 + 4 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45533546298 and 45533546307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118886353 + ... + 118886735.

It is an arithmetic number, because the mean of its divisors is an integer number (324979200).

Almost surely, 2^45533546352 is an apocalyptic number.

45533546352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45533546352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008000).

45533546352 is an abundant number, since it is smaller than the sum of its proper divisors (110456469648).

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

45533546352 is a wasteful number, since it uses less digits than its factorization.

45533546352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

The spelling of 45533546352 in words is "forty-five billion, five hundred thirty-three million, five hundred forty-six thousand, three hundred fifty-two".