32265420344544 has 192 divisors, whose sum is σ = 89976096000000. Its totient is φ = 10108415815680.

The previous prime is 32265420344537. The next prime is 32265420344569. The reversal of 32265420344544 is 44544302456223.

It is a super-2 number, since 2×32265420344544² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 32265420344493 and 32265420344502.

It is a congruent number.

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, 14582332 + ... + 16648580.

It is an arithmetic number, because the mean of its divisors is an integer number (468625500000).

Almost surely, 2^{32265420344544} 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 32265420344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988048000000).

32265420344544 is an abundant number, since it is smaller than the sum of its proper divisors (57710675655456).

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

32265420344544 is a wasteful number, since it uses less digits than its factorization.

32265420344544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066441 (or 2066433 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 48.

The spelling of 32265420344544 in words is "thirty-two trillion, two hundred sixty-five billion, four hundred twenty million, three hundred forty-four thousand, five hundred forty-four".