1332166004352 has 96 divisors (see below), whose sum is σ = 3835968533280. Its totient is φ = 443763184128.

The previous prime is 1332166004347. The next prime is 1332166004353. The reversal of 1332166004352 is 2534006612331.

1332166004352 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 6 + 600 + 43 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1332166004353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1374853 + ... + 2134139.

It is an arithmetic number, because the mean of its divisors is an integer number (39958005555).

Almost surely, 2^{1332166004352} is an apocalyptic number.

1332166004352 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 1332166004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917984266640).

1332166004352 is an abundant number, since it is smaller than the sum of its proper divisors (2503802528928).

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

1332166004352 is a wasteful number, since it uses less digits than its factorization.

1332166004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760830 (or 760815 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1332166004352 in words is "one trillion, three hundred thirty-two billion, one hundred sixty-six million, four thousand, three hundred fifty-two".