45057135648 has 768 divisors, whose sum is σ = 158749839360. Its totient is φ = 10882252800.

The previous prime is 45057135637. The next prime is 45057135671. The reversal of 45057135648 is 84653175054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45057135597 and 45057135606.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 542857015 + ... + 542857097.

It is an arithmetic number, because the mean of its divisors is an integer number (206705520).

Almost surely, 2^45057135648 is an apocalyptic number.

45057135648 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 45057135648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79374919680).

45057135648 is an abundant number, since it is smaller than the sum of its proper divisors (113692703712).

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

45057135648 is a wasteful number, since it uses less digits than its factorization.

45057135648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 45057135648 in words is "forty-five billion, fifty-seven million, one hundred thirty-five thousand, six hundred forty-eight".