3145861401984 has 1536 divisors, whose sum is σ = 11715848601600. Its totient is φ = 790091366400.

The previous prime is 3145861401923. The next prime is 3145861402043. The reversal of 3145861401984 is 4891041685413.

3145861401984 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 8 + 614 + 0 + 19 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3145861401984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14909295639 + ... + 14909295849.

It is an arithmetic number, because the mean of its divisors is an integer number (7627505600).

Almost surely, 2^{3145861401984} 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 3145861401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857924300800).

3145861401984 is an abundant number, since it is smaller than the sum of its proper divisors (8569987199616).

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

3145861401984 is a wasteful number, since it uses less digits than its factorization.

3145861401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 3145861401984 in words is "three trillion, one hundred forty-five billion, eight hundred sixty-one million, four hundred one thousand, nine hundred eighty-four".