45209500380 has 240 divisors, whose sum is σ = 159709777920. Its totient is φ = 10606204800.

The previous prime is 45209500313. The next prime is 45209500387. The reversal of 45209500380 is 8300590254.

45209500380 is a `hidden beast` number, since 4 + 520 + 9 + 50 + 0 + 3 + 80 = 666.

45209500380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45209500387) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 511501 + ... + 593339.

It is an arithmetic number, because the mean of its divisors is an integer number (665457408).

Almost surely, 2^45209500380 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 45209500380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79854888960).

45209500380 is an abundant number, since it is smaller than the sum of its proper divisors (114500277540).

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

45209500380 is a wasteful number, since it uses less digits than its factorization.

45209500380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81902 (or 81891 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45209500380 in words is "forty-five billion, two hundred nine million, five hundred thousand, three hundred eighty".