31429148072 has 192 divisors, whose sum is σ = 76041504000. Its totient is φ = 11885709312.

The previous prime is 31429148071. The next prime is 31429148209. The reversal of 31429148072 is 27084192413.

It is not an unprimeable number, because it can be changed into a prime (31429148071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37459829 + ... + 37460667.

It is an arithmetic number, because the mean of its divisors is an integer number (396049500).

Almost surely, 2^31429148072 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 31429148072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38020752000).

31429148072 is an abundant number, since it is smaller than the sum of its proper divisors (44612355928).

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

31429148072 is a wasteful number, since it uses less digits than its factorization.

31429148072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 31429148072 in words is "thirty-one billion, four hundred twenty-nine million, one hundred forty-eight thousand, seventy-two".