3145601994528 has 384 divisors, whose sum is σ = 10174429440000. Its totient is φ = 848230548480.

The previous prime is 3145601994499. The next prime is 3145601994533. The reversal of 3145601994528 is 8254991065413.

3145601994528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168285663 + ... + 168304353.

It is an arithmetic number, because the mean of its divisors is an integer number (26495910000).

Almost surely, 2^{3145601994528} is an apocalyptic number.

3145601994528 is a gapful number since it is divisible by the number (38) 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 3145601994528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087214720000).

3145601994528 is an abundant number, since it is smaller than the sum of its proper divisors (7028827445472).

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

3145601994528 is a wasteful number, since it uses less digits than its factorization.

3145601994528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19013 (or 18991 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 3145601994528 in words is "three trillion, one hundred forty-five billion, six hundred one million, nine hundred ninety-four thousand, five hundred twenty-eight".