45287721648 has 320 divisors, whose sum is σ = 148287175680. Its totient is φ = 13127380992.

The previous prime is 45287721623. The next prime is 45287721653. The reversal of 45287721648 is 84612778254.

45287721648 is a `hidden beast` number, since 4 + 528 + 7 + 72 + 1 + 6 + 48 = 666.

45287721648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45287721594 and 45287721603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8651640 + ... + 8656872.

It is an arithmetic number, because the mean of its divisors is an integer number (463397424).

Almost surely, 2^45287721648 is an apocalyptic number.

45287721648 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 45287721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74143587840).

45287721648 is an abundant number, since it is smaller than the sum of its proper divisors (102999454032).

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

45287721648 is a wasteful number, since it uses less digits than its factorization.

45287721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5341 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 45287721648 in words is "forty-five billion, two hundred eighty-seven million, seven hundred twenty-one thousand, six hundred forty-eight".