93216248832 has 704 divisors, whose sum is σ = 314293432320. Its totient is φ = 23979884544.

The previous prime is 93216248813. The next prime is 93216248891. The reversal of 93216248832 is 23884261239.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960992208 + ... + 960992304.

Almost surely, 2^93216248832 is an apocalyptic number.

93216248832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93216248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157146716160).

93216248832 is an abundant number, since it is smaller than the sum of its proper divisors (221077183488).

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

93216248832 is a wasteful number, since it uses less digits than its factorization.

93216248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 93216248832 in words is "ninety-three billion, two hundred sixteen million, two hundred forty-eight thousand, eight hundred thirty-two".