3166735201245 has 384 divisors, whose sum is σ = 7215738163200. Its totient is φ = 1302949670400.

The previous prime is 3166735201241. The next prime is 3166735201261. The reversal of 3166735201245 is 5421025376613.

3166735201245 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 73 + 520 + 12 + 45 = 666.

It is not a de Polignac number, because 3166735201245 - 2² = 3166735201241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3166735201245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166735201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5115888546 + ... + 5115889164.

It is an arithmetic number, because the mean of its divisors is an integer number (18790984800).

Almost surely, 2^{3166735201245} is an apocalyptic number.

3166735201245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3166735201245 is an abundant number, since it is smaller than the sum of its proper divisors (4049002961955).

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

3166735201245 is a wasteful number, since it uses less digits than its factorization.

3166735201245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3166735201245 in words is "three trillion, one hundred sixty-six billion, seven hundred thirty-five million, two hundred one thousand, two hundred forty-five".