45582106752 has 384 divisors, whose sum is σ = 166500720000. Its totient is φ = 12020576256.

The previous prime is 45582106723. The next prime is 45582106753. The reversal of 45582106752 is 25760128554.

45582106752 is a `hidden beast` number, since 4 + 5 + 582 + 1 + 0 + 67 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45582106698 and 45582106707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45582106753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4082874 + ... + 4094022.

It is an arithmetic number, because the mean of its divisors is an integer number (433595625).

Almost surely, 2^45582106752 is an apocalyptic number.

45582106752 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 45582106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83250360000).

45582106752 is an abundant number, since it is smaller than the sum of its proper divisors (120918613248).

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

45582106752 is a wasteful number, since it uses less digits than its factorization.

45582106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 45582106752 in words is "forty-five billion, five hundred eighty-two million, one hundred six thousand, seven hundred fifty-two".