32542290144 has 576 divisors, whose sum is σ = 120464547840. Its totient is φ = 8101416960.

The previous prime is 32542290127. The next prime is 32542290203. The reversal of 32542290144 is 44109224523.

It is a happy number.

32542290144 is a `hidden beast` number, since 3 + 2 + 5 + 422 + 90 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32542290099 and 32542290108.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 35721049 + ... + 35721959.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^32542290144 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 32542290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60232273920).

32542290144 is an abundant number, since it is smaller than the sum of its proper divisors (87922257696).

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

32542290144 is a wasteful number, since it uses less digits than its factorization.

32542290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 32542290144 in words is "thirty-two billion, five hundred forty-two million, two hundred ninety thousand, one hundred forty-four".