45097479648 has 648 divisors, whose sum is σ = 152486058816. Its totient is φ = 13101004800.

The previous prime is 45097479619. The next prime is 45097479649. The reversal of 45097479648 is 84697479054.

45097479648 is a `hidden beast` number, since 450 + 9 + 74 + 79 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45097479649) 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 107 ways as a sum of consecutive naturals, for example, 1099938508 + ... + 1099938548.

It is an arithmetic number, because the mean of its divisors is an integer number (235317992).

Almost surely, 2^45097479648 is an apocalyptic number.

45097479648 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 45097479648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76243029408).

45097479648 is an abundant number, since it is smaller than the sum of its proper divisors (107388579168).

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

45097479648 is an equidigital number, since it uses as much as digits as its factorization.

45097479648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 45097479648 in words is "forty-five billion, ninety-seven million, four hundred seventy-nine thousand, six hundred forty-eight".