1652414349312 has 720 divisors, whose sum is σ = 5280122054592. Its totient is φ = 513854668800.

The previous prime is 1652414349247. The next prime is 1652414349317. The reversal of 1652414349312 is 2139434142561.

It is a happy number.

1652414349312 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 4 + 143 + 493 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1652414349317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16360538062 + ... + 16360538162.

Almost surely, 2^{1652414349312} is an apocalyptic number.

1652414349312 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 1652414349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640061027296).

1652414349312 is an abundant number, since it is smaller than the sum of its proper divisors (3627707705280).

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

1652414349312 is an frugal number, since it uses more digits than its factorization.

1652414349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 196 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1652414349312 in words is "one trillion, six hundred fifty-two billion, four hundred fourteen million, three hundred forty-nine thousand, three hundred twelve".