31427193888 has 288 divisors, whose sum is σ = 101311741440. Its totient is φ = 9540218880.

The previous prime is 31427193869. The next prime is 31427193907. The reversal of 31427193888 is 88839172413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31427193869) and next prime (31427193907).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094118 + ... + 4101786.

It is an arithmetic number, because the mean of its divisors is an integer number (351776880).

Almost surely, 2^31427193888 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 31427193888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50655870720).

31427193888 is an abundant number, since it is smaller than the sum of its proper divisors (69884547552).

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

31427193888 is a wasteful number, since it uses less digits than its factorization.

31427193888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7722 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 31427193888 in words is "thirty-one billion, four hundred twenty-seven million, one hundred ninety-three thousand, eight hundred eighty-eight".