1643252347152 has 240 divisors, whose sum is σ = 5288099456640. Its totient is φ = 472384991232.

The previous prime is 1643252347111. The next prime is 1643252347153. The reversal of 1643252347152 is 2517432523461.

1643252347152 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 523 + 4 + 71 + 52 = 666.

It is a super-2 number, since 2×1643252347152² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1643252347098 and 1643252347107.

It is not an unprimeable number, because it can be changed into a prime (1643252347153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407624 + ... + 2295192.

It is an arithmetic number, because the mean of its divisors is an integer number (22033747736).

Almost surely, 2^{1643252347152} is an apocalyptic number.

1643252347152 is a gapful number since it is divisible by the number (12) 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 1643252347152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644049728320).

1643252347152 is an abundant number, since it is smaller than the sum of its proper divisors (3644847109488).

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

1643252347152 is a wasteful number, since it uses less digits than its factorization.

1643252347152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887662 (or 887653 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 1643252347152 in words is "one trillion, six hundred forty-three billion, two hundred fifty-two million, three hundred forty-seven thousand, one hundred fifty-two".