3141145098 has 288 divisors, whose sum is σ = 9136423296. Its totient is φ = 771192576.

The previous prime is 3141145069. The next prime is 3141145099. The reversal of 3141145098 is 8905411413.

3141145098 is a `hidden beast` number, since 3 + 141 + 1 + 4 + 509 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3141145099) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11339736 + ... + 11340012.

It is an arithmetic number, because the mean of its divisors is an integer number (31723692).

Almost surely, 2^3141145098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141145098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568211648).

3141145098 is an abundant number, since it is smaller than the sum of its proper divisors (5995278198).

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

3141145098 is a wasteful number, since it uses less digits than its factorization.

3141145098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3141145098 is about 56045.9195481705. The cubic root of 3141145098 is about 1464.5223350035.

The spelling of 3141145098 in words is "three billion, one hundred forty-one million, one hundred forty-five thousand, ninety-eight".