32454743104 has 63 divisors (see below), whose sum is σ = 74940350373. Its totient is φ = 13904851968.

The previous prime is 32454743099. The next prime is 32454743143. The reversal of 32454743104 is 40134745423.

The square root of 32454743104 is 180152.

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., 29268366400 + 3186376704 = 171080^2 + 56448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10086904 + ... + 10090120.

It is an arithmetic number, because the mean of its divisors is an integer number (1189529371).

Almost surely, 2^32454743104 is an apocalyptic number.

32454743104 is the 180152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32454743104

32454743104 is an abundant number, since it is smaller than the sum of its proper divisors (42485607269).

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

32454743104 is an frugal number, since it uses more digits than its factorization.

32454743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 32454743104 in words is "thirty-two billion, four hundred fifty-four million, seven hundred forty-three thousand, one hundred four".