45532834560 has 216 divisors, whose sum is σ = 163374753360. Its totient is φ = 12142006272.

The previous prime is 45532834553. The next prime is 45532834577. The reversal of 45532834560 is 6543823554.

45532834560 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 2 + 83 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 237846 + ... + 384234.

Almost surely, 2^45532834560 is an apocalyptic number.

45532834560 is a gapful number since it is divisible by the number (40) 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 45532834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81687376680).

45532834560 is an abundant number, since it is smaller than the sum of its proper divisors (117841918800).

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

45532834560 is an equidigital number, since it uses as much as digits as its factorization.

45532834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146425 (or 146399 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 45532834560 in words is "forty-five billion, five hundred thirty-two million, eight hundred thirty-four thousand, five hundred sixty".