93711903376 has 225 divisors, whose sum is σ = 236875190301. Its totient is φ = 35794467072.

The previous prime is 93711903361. The next prime is 93711903407. The reversal of 93711903376 is 67330911739.

The square root of 93711903376 is 306124.

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

It can be written as a sum of positive squares in 7 ways, for example, as 76452250000 + 17259653376 = 276500^2 + 131376^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3231444930 + ... + 3231444958.

Almost surely, 2^93711903376 is an apocalyptic number.

93711903376 is the 306124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93711903376

93711903376 is an abundant number, since it is smaller than the sum of its proper divisors (143163286925).

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

93711903376 is an frugal number, since it uses more digits than its factorization.

93711903376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 49.

Multiplying 93711903376 by its sum of digits (49), we get a square (4591883265424 = 2142868²).

93711903376 divided by its sum of digits (49) gives a square (1912487824 = 43732²).

The spelling of 93711903376 in words is "ninety-three billion, seven hundred eleven million, nine hundred three thousand, three hundred seventy-six".