32990271445824 has 896 divisors, whose sum is σ = 120480711966720. Its totient is φ = 7707703910400.

The previous prime is 32990271445823. The next prime is 32990271445861. The reversal of 32990271445824 is 42854417209923.

It is a super-3 number, since 3×32990271445824³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32990271445823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 461476387 + ... + 461547869.

It is an arithmetic number, because the mean of its divisors is an integer number (134465080320).

Almost surely, 2^{32990271445824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32990271445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60240355983360).

32990271445824 is an abundant number, since it is smaller than the sum of its proper divisors (87490440520896).

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

32990271445824 is a wasteful number, since it uses less digits than its factorization.

32990271445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71619 (or 71609 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 32990271445824 in words is "thirty-two trillion, nine hundred ninety billion, two hundred seventy-one million, four hundred forty-five thousand, eight hundred twenty-four".