3190125149568 has 384 divisors, whose sum is σ = 10580336881920. Its totient is φ = 903758819328.

The previous prime is 3190125149567. The next prime is 3190125149599. The reversal of 3190125149568 is 8659415210913.

3190125149568 is a `hidden beast` number, since 3 + 1 + 90 + 1 + 2 + 5 + 1 + 495 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3190125149567) 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 47 ways as a sum of consecutive naturals, for example, 613837146 + ... + 613842342.

It is an arithmetic number, because the mean of its divisors is an integer number (27552960630).

Almost surely, 2^{3190125149568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3190125149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290168440960).

3190125149568 is an abundant number, since it is smaller than the sum of its proper divisors (7390211732352).

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

3190125149568 is a wasteful number, since it uses less digits than its factorization.

3190125149568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 3190125149568 in words is "three trillion, one hundred ninety billion, one hundred twenty-five million, one hundred forty-nine thousand, five hundred sixty-eight".