32249162883840 has 288 divisors, whose sum is σ = 117720189457920. Its totient is φ = 7370564370432.

The previous prime is 32249162883827. The next prime is 32249162883887. The reversal of 32249162883840 is 4838826194223.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331838776 + ... + 331935944.

It is an arithmetic number, because the mean of its divisors is an integer number (408750657840).

Almost surely, 2^{32249162883840} is an apocalyptic number.

32249162883840 is a gapful number since it is divisible by the number (30) 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 32249162883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58860094728960).

32249162883840 is an abundant number, since it is smaller than the sum of its proper divisors (85471026574080).

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

32249162883840 is a wasteful number, since it uses less digits than its factorization.

32249162883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109547 (or 109533 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 32249162883840 in words is "thirty-two trillion, two hundred forty-nine billion, one hundred sixty-two million, eight hundred eighty-three thousand, eight hundred forty".