93665378304 has 135 divisors (see below), whose sum is σ = 270920537797. Its totient is φ = 31182618624.

The previous prime is 93665378291. The next prime is 93665378311. The reversal of 93665378304 is 40387356639.

The square root of 93665378304 is 306048.

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., 45420134400 + 48245243904 = 213120^2 + 219648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 117522034 + ... + 117522830.

Almost surely, 2^93665378304 is an apocalyptic number.

93665378304 is the 306048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93665378304

93665378304 is an abundant number, since it is smaller than the sum of its proper divisors (177255159493).

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

93665378304 is an frugal number, since it uses more digits than its factorization.

93665378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

It can be divided in two parts, 93665 and 378304, that added together give a square (471969 = 687²).

The spelling of 93665378304 in words is "ninety-three billion, six hundred sixty-five million, three hundred seventy-eight thousand, three hundred four".