45182381580 has 960 divisors, whose sum is σ = 177455308800. Its totient is φ = 9601804800.

The previous prime is 45182381527. The next prime is 45182381581. The reversal of 45182381580 is 8518328154.

45182381580 is a `hidden beast` number, since 4 + 518 + 2 + 3 + 81 + 58 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45182381581) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 740694750 + ... + 740694810.

It is an arithmetic number, because the mean of its divisors is an integer number (184849280).

Almost surely, 2^45182381580 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 45182381580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88727654400).

45182381580 is an abundant number, since it is smaller than the sum of its proper divisors (132272927220).

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

45182381580 is a wasteful number, since it uses less digits than its factorization.

45182381580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 45182381580 in words is "forty-five billion, one hundred eighty-two million, three hundred eighty-one thousand, five hundred eighty".