45431001584640 has 2816 divisors, whose sum is σ = 207003539865600. Its totient is φ = 9198423244800.

The previous prime is 45431001584597. The next prime is 45431001584687. The reversal of 45431001584640 is 4648510013454.

45431001584640 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 1 + 0 + 0 + 1 + 584 + 64 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 59699081860 + ... + 59699082620.

Almost surely, 2^{45431001584640} is an apocalyptic number.

45431001584640 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 45431001584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103501769932800).

45431001584640 is an abundant number, since it is smaller than the sum of its proper divisors (161572538280960).

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

45431001584640 is a wasteful number, since it uses less digits than its factorization.

45431001584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45431001584640 in words is "forty-five trillion, four hundred thirty-one billion, one million, five hundred eighty-four thousand, six hundred forty".