45348526080 has 1536 divisors, whose sum is σ = 200774246400. Its totient is φ = 9555148800.

The previous prime is 45348526073. The next prime is 45348526123. The reversal of 45348526080 is 8062584354.

45348526080 is a `hidden beast` number, since 4 + 5 + 3 + 48 + 526 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1225635822 + ... + 1225635858.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^45348526080 is an apocalyptic number.

45348526080 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 45348526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100387123200).

45348526080 is an abundant number, since it is smaller than the sum of its proper divisors (155425720320).

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

45348526080 is a wasteful number, since it uses less digits than its factorization.

45348526080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45348526080 in words is "forty-five billion, three hundred forty-eight million, five hundred twenty-six thousand, eighty".