93141045816 has 256 divisors, whose sum is σ = 304598568960. Its totient is φ = 23031889920.

The previous prime is 93141045793. The next prime is 93141045827. The reversal of 93141045816 is 61854014139.

It is a super-2 number, since 2×93141045816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10057060 + ... + 10066316.

It is an arithmetic number, because the mean of its divisors is an integer number (1189838160).

Almost surely, 2^93141045816 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 93141045816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152299284480).

93141045816 is an abundant number, since it is smaller than the sum of its proper divisors (211457523144).

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

93141045816 is a wasteful number, since it uses less digits than its factorization.

93141045816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 93141045816 in words is "ninety-three billion, one hundred forty-one million, forty-five thousand, eight hundred sixteen".