32438229497856 has 768 divisors, whose sum is σ = 121149645926400. Its totient is φ = 8346422476800.

The previous prime is 32438229497809. The next prime is 32438229497873. The reversal of 32438229497856 is 65879492283423.

32438229497856 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 82 + 2 + 9 + 497 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 206230761 + ... + 206387991.

It is an arithmetic number, because the mean of its divisors is an integer number (157746934800).

Almost surely, 2^{32438229497856} is an apocalyptic number.

32438229497856 is a gapful number since it is divisible by the number (36) 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 32438229497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60574822963200).

32438229497856 is an abundant number, since it is smaller than the sum of its proper divisors (88711416428544).

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

32438229497856 is a wasteful number, since it uses less digits than its factorization.

32438229497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157323 (or 157297 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 32438229497856 in words is "thirty-two trillion, four hundred thirty-eight billion, two hundred twenty-nine million, four hundred ninety-seven thousand, eight hundred fifty-six".