3161106172000 has 192 divisors, whose sum is σ = 8916208164864. Its totient is φ = 1078945574400.

The previous prime is 3161106171901. The next prime is 3161106172013. The reversal of 3161106172000 is 2716011613.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3161106172000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5990869 + ... + 6497131.

It is an arithmetic number, because the mean of its divisors is an integer number (46438584192).

Almost surely, 2^{3161106172000} 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 3161106172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458104082432).

3161106172000 is an abundant number, since it is smaller than the sum of its proper divisors (5755101992864).

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

3161106172000 is a wasteful number, since it uses less digits than its factorization.

3161106172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506518 (or 506500 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 3161106172000 in words is "three trillion, one hundred sixty-one billion, one hundred six million, one hundred seventy-two thousand".