32448590428352 has 112 divisors (see below), whose sum is σ = 75582416605248. Its totient is φ = 13529833574400.

The previous prime is 32448590428351. The next prime is 32448590428369. The reversal of 32448590428352 is 25382409584423.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×32448590428352² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32448590428291 and 32448590428300.

It is not an unprimeable number, because it can be changed into a prime (32448590428351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309935438 + ... + 310040114.

It is an arithmetic number, because the mean of its divisors is an integer number (674843005404).

Almost surely, 2^{32448590428352} is an apocalyptic number.

32448590428352 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 32448590428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37791208302624).

32448590428352 is an abundant number, since it is smaller than the sum of its proper divisors (43133826176896).

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

32448590428352 is a wasteful number, since it uses less digits than its factorization.

32448590428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123434 (or 123424 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 59.

The spelling of 32448590428352 in words is "thirty-two trillion, four hundred forty-eight billion, five hundred ninety million, four hundred twenty-eight thousand, three hundred fifty-two".