45488710368 has 144 divisors (see below), whose sum is σ = 135397132416. Its totient is φ = 14459132160.

The previous prime is 45488710363. The next prime is 45488710427. The reversal of 45488710368 is 86301788454.

45488710368 is a `hidden beast` number, since 4 + 548 + 87 + 10 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45488710363) 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 23 ways as a sum of consecutive naturals, for example, 2182171 + ... + 2202917.

It is an arithmetic number, because the mean of its divisors is an integer number (940257864).

Almost surely, 2^45488710368 is an apocalyptic number.

45488710368 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 45488710368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67698566208).

45488710368 is an abundant number, since it is smaller than the sum of its proper divisors (89908422048).

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

45488710368 is a wasteful number, since it uses less digits than its factorization.

45488710368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21117 (or 21106 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 45488710368 in words is "forty-five billion, four hundred eighty-eight million, seven hundred ten thousand, three hundred sixty-eight".