31864465152 has 288 divisors, whose sum is σ = 102289608960. Its totient is φ = 9726013440.

The previous prime is 31864465103. The next prime is 31864465153. The reversal of 31864465152 is 25156446813.

31864465152 is a `hidden beast` number, since 3 + 186 + 4 + 465 + 1 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31864465098 and 31864465107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31864465153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11769783 + ... + 11772489.

Almost surely, 2^31864465152 is an apocalyptic number.

31864465152 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 31864465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51144804480).

31864465152 is an abundant number, since it is smaller than the sum of its proper divisors (70425143808).

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

31864465152 is a wasteful number, since it uses less digits than its factorization.

31864465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2856 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 31864465152 in words is "thirty-one billion, eight hundred sixty-four million, four hundred sixty-five thousand, one hundred fifty-two".