3141095938848 has 864 divisors, whose sum is σ = 11462954630400. Its totient is φ = 840715739136.

The previous prime is 3141095938837. The next prime is 3141095938997. The reversal of 3141095938848 is 8488395901413.

3141095938848 is a `hidden beast` number, since 3 + 1 + 410 + 95 + 93 + 8 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×3141095938848³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1548099498 + ... + 1548101526.

It is an arithmetic number, because the mean of its divisors is an integer number (13267308600).

Almost surely, 2^{3141095938848} 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 3141095938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731477315200).

3141095938848 is an abundant number, since it is smaller than the sum of its proper divisors (8321858691552).

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

3141095938848 is a wasteful number, since it uses less digits than its factorization.

3141095938848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3141095938848 in words is "three trillion, one hundred forty-one billion, ninety-five million, nine hundred thirty-eight thousand, eight hundred forty-eight".