31663285420032 has 1800 divisors, whose sum is σ = 115419655169280. Its totient is φ = 8614922158080.

The previous prime is 31663285419973. The next prime is 31663285420037. The reversal of 31663285420032 is 23002458236613.

31663285420032 is a `hidden beast` number, since 3 + 1 + 6 + 632 + 8 + 5 + 4 + 2 + 0 + 0 + 3 + 2 = 666.

It is a super-3 number, since 3×31663285420032³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31663285420032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31663285420037) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 227793420219 + ... + 227793420357.

Almost surely, 2^{31663285420032} is an apocalyptic number.

31663285420032 is a gapful number since it is divisible by the number (32) 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 31663285420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57709827584640).

31663285420032 is an abundant number, since it is smaller than the sum of its proper divisors (83756369749248).

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

31663285420032 is a wasteful number, since it uses less digits than its factorization.

31663285420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 31663285420032 in words is "thirty-one trillion, six hundred sixty-three billion, two hundred eighty-five million, four hundred twenty thousand, thirty-two".