32000472354816 has 1755 divisors, whose sum is σ = 118183983590673. Its totient is φ = 8602102333440.

The previous prime is 32000472354787. The next prime is 32000472354817. The reversal of 32000472354816 is 61845327400023.

The square root of 32000472354816 is 5656896.

It is a perfect power (a square), and thus also a powerful number.

32000472354816 is a `hidden beast` number, since 3 + 20 + 0 + 0 + 4 + 72 + 3 + 548 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1040595849216 + 30959876505600 = 1020096^2 + 5564160^2 .

It is not an unprimeable number, because it can be changed into a prime (32000472354817) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 524597907426 + ... + 524597907486.

Almost surely, 2^{32000472354816} is an apocalyptic number.

32000472354816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32000472354816 is the 5656896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32000472354816

32000472354816 is an abundant number, since it is smaller than the sum of its proper divisors (86183511235857).

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

32000472354816 is an frugal number, since it uses more digits than its factorization.

32000472354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 32000472354816 its reverse (61845327400023), we get a palindrome (93845799754839).

The spelling of 32000472354816 in words is "thirty-two trillion, four hundred seventy-two million, three hundred fifty-four thousand, eight hundred sixteen".