93144038400 has 1848 divisors, whose sum is σ = 426138630144. Its totient is φ = 19707494400.

The previous prime is 93144038341. The next prime is 93144038401. The reversal of 93144038400 is 483044139.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93144038401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3004646385 + ... + 3004646415.

Almost surely, 2^93144038400 is an apocalyptic number.

93144038400 is a gapful number since it is divisible by the number (90) 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 93144038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213069315072).

93144038400 is an abundant number, since it is smaller than the sum of its proper divisors (332994591744).

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

93144038400 is a wasteful number, since it uses less digits than its factorization.

93144038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 93144038400 in words is "ninety-three billion, one hundred forty-four million, thirty-eight thousand, four hundred".