32113825083648 has 3456 divisors, whose sum is σ = 132507189248000. Its totient is φ = 7478994124800.

The previous prime is 32113825083539. The next prime is 32113825083677. The reversal of 32113825083648 is 84638052831123.

32113825083648 is a `hidden beast` number, since 3 + 2 + 1 + 13 + 82 + 508 + 3 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 32113825083594 and 32113825083603.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 231034712763 + ... + 231034712901.

Almost surely, 2^{32113825083648} is an apocalyptic number.

32113825083648 is a gapful number since it is divisible by the number (38) 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 32113825083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66253594624000).

32113825083648 is an abundant number, since it is smaller than the sum of its proper divisors (100393364164352).

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

32113825083648 is a wasteful number, since it uses less digits than its factorization.

32113825083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 32113825083648 in words is "thirty-two trillion, one hundred thirteen billion, eight hundred twenty-five million, eighty-three thousand, six hundred forty-eight".