93416197248 has 288 divisors, whose sum is σ = 299667513600. Its totient is φ = 27906278400.

The previous prime is 93416197201. The next prime is 93416197339. The reversal of 93416197248 is 84279161439.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 93416197194 and 93416197203.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9892113 + ... + 9901551.

It is an arithmetic number, because the mean of its divisors is an integer number (1040512200).

Almost surely, 2^93416197248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93416197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149833756800).

93416197248 is an abundant number, since it is smaller than the sum of its proper divisors (206251316352).

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

93416197248 is a wasteful number, since it uses less digits than its factorization.

93416197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9526 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 93416197248 in words is "ninety-three billion, four hundred sixteen million, one hundred ninety-seven thousand, two hundred forty-eight".