45434528640 has 256 divisors, whose sum is σ = 161274240000. Its totient is φ = 12088756224.

The previous prime is 45434528617. The next prime is 45434528651. The reversal of 45434528640 is 4682543454.

45434528640 is a `hidden beast` number, since 4 + 54 + 34 + 528 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8412661 + ... + 8418059.

It is an arithmetic number, because the mean of its divisors is an integer number (629977500).

Almost surely, 2^45434528640 is an apocalyptic number.

45434528640 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 45434528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637120000).

45434528640 is an abundant number, since it is smaller than the sum of its proper divisors (115839711360).

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

45434528640 is a wasteful number, since it uses less digits than its factorization.

45434528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 45434528640 in words is "forty-five billion, four hundred thirty-four million, five hundred twenty-eight thousand, six hundred forty".