31141461000 has 384 divisors, whose sum is σ = 106061529600. Its totient is φ = 7603814400.

The previous prime is 31141460981. The next prime is 31141461023. The reversal of 31141461000 is 16414113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121172872 + ... + 121173128.

It is an arithmetic number, because the mean of its divisors is an integer number (276201900).

Almost surely, 2^31141461000 is an apocalyptic number.

31141461000 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 31141461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53030764800).

31141461000 is an abundant number, since it is smaller than the sum of its proper divisors (74920068600).

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

31141461000 is a wasteful number, since it uses less digits than its factorization.

31141461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31141461000 its reverse (16414113), we get a palindrome (31157875113).

The spelling of 31141461000 in words is "thirty-one billion, one hundred forty-one million, four hundred sixty-one thousand".