32494948181632 has 128 divisors (see below), whose sum is σ = 71898700032000. Its totient is φ = 14550297231360.

The previous prime is 32494948181623. The next prime is 32494948181651. The reversal of 32494948181632 is 23618184949423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7859494 + ... + 11258842.

It is an arithmetic number, because the mean of its divisors is an integer number (561708594000).

Almost surely, 2^{32494948181632} is an apocalyptic number.

32494948181632 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 32494948181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35949350016000).

32494948181632 is an abundant number, since it is smaller than the sum of its proper divisors (39403751850368).

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

32494948181632 is a wasteful number, since it uses less digits than its factorization.

32494948181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399594 (or 3399582 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 64.

The spelling of 32494948181632 in words is "thirty-two trillion, four hundred ninety-four billion, nine hundred forty-eight million, one hundred eighty-one thousand, six hundred thirty-two".