45648600480 has 1152 divisors, whose sum is σ = 200925204480. Its totient is φ = 9196830720.

The previous prime is 45648600451. The next prime is 45648600521. The reversal of 45648600480 is 8400684654.

45648600480 is a `hidden beast` number, since 4 + 564 + 8 + 6 + 0 + 0 + 4 + 80 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 189413160 + ... + 189413400.

It is an arithmetic number, because the mean of its divisors is an integer number (174414240).

Almost surely, 2^45648600480 is an apocalyptic number.

45648600480 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 45648600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100462602240).

45648600480 is an abundant number, since it is smaller than the sum of its proper divisors (155276604000).

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

45648600480 is a wasteful number, since it uses less digits than its factorization.

45648600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 45648600480 in words is "forty-five billion, six hundred forty-eight million, six hundred thousand, four hundred eighty".