45836195328 has 960 divisors, whose sum is σ = 180899136000. Its totient is φ = 11129978880.

The previous prime is 45836195291. The next prime is 45836195329. The reversal of 45836195328 is 82359163854.

45836195328 is a `hidden beast` number, since 4 + 583 + 6 + 1 + 9 + 53 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45836195329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307625398 + ... + 307625546.

It is an arithmetic number, because the mean of its divisors is an integer number (188436600).

Almost surely, 2^45836195328 is an apocalyptic number.

45836195328 is a gapful number since it is divisible by the number (48) 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 45836195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90449568000).

45836195328 is an abundant number, since it is smaller than the sum of its proper divisors (135062940672).

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

45836195328 is a wasteful number, since it uses less digits than its factorization.

45836195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 189 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 45836195328 in words is "forty-five billion, eight hundred thirty-six million, one hundred ninety-five thousand, three hundred twenty-eight".