45524645760 has 384 divisors, whose sum is σ = 163645764480. Its totient is φ = 10675507200.

The previous prime is 45524645731. The next prime is 45524645779. The reversal of 45524645760 is 6754642554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 20295199 + ... + 20297441.

It is an arithmetic number, because the mean of its divisors is an integer number (426160845).

Almost surely, 2^45524645760 is an apocalyptic number.

45524645760 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 45524645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81822882240).

45524645760 is an abundant number, since it is smaller than the sum of its proper divisors (118121118720).

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

45524645760 is a wasteful number, since it uses less digits than its factorization.

45524645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 48.

The spelling of 45524645760 in words is "forty-five billion, five hundred twenty-four million, six hundred forty-five thousand, seven hundred sixty".