1309006845432 has 1152 divisors, whose sum is σ = 4703769504000. Its totient is φ = 334103616000.

The previous prime is 1309006845397. The next prime is 1309006845493. The reversal of 1309006845432 is 2345486009031.

1309006845432 is a `hidden beast` number, since 1 + 30 + 90 + 0 + 68 + 45 + 432 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6203823807 + ... + 6203824017.

It is an arithmetic number, because the mean of its divisors is an integer number (4083133250).

Almost surely, 2^{1309006845432} is an apocalyptic number.

1309006845432 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 1309006845432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351884752000).

1309006845432 is an abundant number, since it is smaller than the sum of its proper divisors (3394762658568).

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

1309006845432 is a wasteful number, since it uses less digits than its factorization.

1309006845432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 290 counting only the distinct ones).

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

The spelling of 1309006845432 in words is "one trillion, three hundred nine billion, six million, eight hundred forty-five thousand, four hundred thirty-two".