93719250496 has 63 divisors (see below), whose sum is σ = 197645105217. Its totient is φ = 44083584000.

The previous prime is 93719250409. The next prime is 93719250503. The reversal of 93719250496 is 69405291739.

It is a happy number.

The square root of 93719250496 is 306136.

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., 72964814400 + 20754436096 = 270120^2 + 144064^2 .

It is a Duffinian number.

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, 41633371 + ... + 41635621.

Almost surely, 2^93719250496 is an apocalyptic number.

93719250496 is the 306136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93719250496

93719250496 is an abundant number, since it is smaller than the sum of its proper divisors (103925854721).

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

93719250496 is an frugal number, since it uses more digits than its factorization.

93719250496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 93719250496 in words is "ninety-three billion, seven hundred nineteen million, two hundred fifty thousand, four hundred ninety-six".