93761394048 has 512 divisors, whose sum is σ = 326108851200. Its totient is φ = 25964789760.

The previous prime is 93761394043. The next prime is 93761394061. The reversal of 93761394048 is 84049316739.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 93761393985 and 93761394003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93761394043) 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 63 ways as a sum of consecutive naturals, for example, 179964028 + ... + 179964548.

It is an arithmetic number, because the mean of its divisors is an integer number (636931350).

Almost surely, 2^93761394048 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 93761394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163054425600).

93761394048 is an abundant number, since it is smaller than the sum of its proper divisors (232347457152).

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

93761394048 is a wasteful number, since it uses less digits than its factorization.

93761394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 93761394048 in words is "ninety-three billion, seven hundred sixty-one million, three hundred ninety-four thousand, forty-eight".