3154875144960 has 1152 divisors, whose sum is σ = 13573598976000. Its totient is φ = 616948039680.

The previous prime is 3154875144899. The next prime is 3154875145003. The reversal of 3154875144960 is 694415784513.

It is a self number, because there is not a number n which added to its sum of digits gives 3154875144960.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246295036 + ... + 246307844.

It is an arithmetic number, because the mean of its divisors is an integer number (11782638000).

Almost surely, 2^{3154875144960} is an apocalyptic number.

3154875144960 is a gapful number since it is divisible by the number (30) 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 3154875144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786799488000).

3154875144960 is an abundant number, since it is smaller than the sum of its proper divisors (10418723831040).

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

3154875144960 is a wasteful number, since it uses less digits than its factorization.

3154875144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 3154875144960 in words is "three trillion, one hundred fifty-four billion, eight hundred seventy-five million, one hundred forty-four thousand, nine hundred sixty".