45362026080 has 384 divisors, whose sum is σ = 185878748160. Its totient is φ = 10115297280.

The previous prime is 45362026043. The next prime is 45362026081. The reversal of 45362026080 is 8062026354.

45362026080 is a `hidden beast` number, since 4 + 5 + 3 + 620 + 26 + 0 + 8 + 0 = 666.

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 (45362026081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221547 + ... + 1258133.

It is an arithmetic number, because the mean of its divisors is an integer number (484059240).

Almost surely, 2^45362026080 is an apocalyptic number.

45362026080 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 45362026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939374080).

45362026080 is an abundant number, since it is smaller than the sum of its proper divisors (140516722080).

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

45362026080 is a wasteful number, since it uses less digits than its factorization.

45362026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36659 (or 36645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 45362026080 in words is "forty-five billion, three hundred sixty-two million, twenty-six thousand, eighty".