32819195270416 has 135 divisors (see below), whose sum is σ = 68746236826149. Its totient is φ = 15175739287296.

The previous prime is 32819195270377. The next prime is 32819195270429. The reversal of 32819195270416 is 61407259191823.

The square root of 32819195270416 is 5728804.

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

It can be written as a sum of positive squares in only one way, i.e., 929411683600 + 31889783586816 = 964060^2 + 5647104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18721730596 + ... + 18721732348.

It is a 1-persistent number, because it is pandigital, but 2⋅32819195270416 = 65638390540832 is not.

Almost surely, 2^{32819195270416} is an apocalyptic number.

32819195270416 is the 5728804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32819195270416

32819195270416 is an abundant number, since it is smaller than the sum of its proper divisors (35927041555733).

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

32819195270416 is an frugal number, since it uses more digits than its factorization.

32819195270416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 32819195270416 in words is "thirty-two trillion, eight hundred nineteen billion, one hundred ninety-five million, two hundred seventy thousand, four hundred sixteen".