1645017113520 has 1280 divisors, whose sum is σ = 6988695552000. Its totient is φ = 350454988800.

The previous prime is 1645017113491. The next prime is 1645017113561. The reversal of 1645017113520 is 253117105461.

1645017113520 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 17 + 113 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 544886571 + ... + 544889589.

It is an arithmetic number, because the mean of its divisors is an integer number (5459918400).

Almost surely, 2^{1645017113520} is an apocalyptic number.

1645017113520 is a gapful number since it is divisible by the number (10) 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 1645017113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494347776000).

1645017113520 is an abundant number, since it is smaller than the sum of its proper divisors (5343678438480).

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

1645017113520 is a wasteful number, since it uses less digits than its factorization.

1645017113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1645017113520 in words is "one trillion, six hundred forty-five billion, seventeen million, one hundred thirteen thousand, five hundred twenty".