1352175648768 has 340 divisors, whose sum is σ = 4617044131920. Its totient is φ = 386325282816.

The previous prime is 1352175648751. The next prime is 1352175648781. The reversal of 1352175648768 is 8678465712531.

It is a happy number.

1352175648768 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 7 + 564 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37140718 + ... + 37177106.

Almost surely, 2^{1352175648768} is an apocalyptic number.

1352175648768 is a gapful number since it is divisible by the number (18) 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 1352175648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308522065960).

1352175648768 is an abundant number, since it is smaller than the sum of its proper divisors (3264868483152).

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

1352175648768 is an frugal number, since it uses more digits than its factorization.

1352175648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36440 (or 36401 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 1352175648768 in words is "one trillion, three hundred fifty-two billion, one hundred seventy-five million, six hundred forty-eight thousand, seven hundred sixty-eight".