31473691648 has 264 divisors, whose sum is σ = 78049850112. Its totient is φ = 12402475008.

The previous prime is 31473691633. The next prime is 31473691651. The reversal of 31473691648 is 84619637413.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 31473691595 and 31473691604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138650511 + ... + 138650737.

Almost surely, 2^31473691648 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 31473691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39024925056).

31473691648 is an abundant number, since it is smaller than the sum of its proper divisors (46576158464).

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

31473691648 is a wasteful number, since it uses less digits than its factorization.

31473691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 288 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 31473691648 in words is "thirty-one billion, four hundred seventy-three million, six hundred ninety-one thousand, six hundred forty-eight".