31661473536 has 1152 divisors, whose sum is σ = 128095027200. Its totient is φ = 7464960000.

The previous prime is 31661473483. The next prime is 31661473549. The reversal of 31661473536 is 63537416613.

31661473536 is a `hidden beast` number, since 3 + 16 + 61 + 47 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 31661473491 and 31661473500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313479886 + ... + 313479986.

It is an arithmetic number, because the mean of its divisors is an integer number (111193600).

Almost surely, 2^31661473536 is an apocalyptic number.

31661473536 is a gapful number since it is divisible by the number (36) 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 31661473536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64047513600).

31661473536 is an abundant number, since it is smaller than the sum of its proper divisors (96433553664).

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

31661473536 is a wasteful number, since it uses less digits than its factorization.

31661473536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 174 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 31661473536 in words is "thirty-one billion, six hundred sixty-one million, four hundred seventy-three thousand, five hundred thirty-six".