93819430656 has 576 divisors, whose sum is σ = 330174351360. Its totient is φ = 26040766464.

The previous prime is 93819430643. The next prime is 93819430699. The reversal of 93819430656 is 65603491839.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 145006525 + ... + 145007171.

It is an arithmetic number, because the mean of its divisors is an integer number (573219360).

Almost surely, 2^93819430656 is an apocalyptic number.

93819430656 is a gapful number since it is divisible by the number (96) 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 93819430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165087175680).

93819430656 is an abundant number, since it is smaller than the sum of its proper divisors (236354920704).

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

93819430656 is an frugal number, since it uses more digits than its factorization.

93819430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 93819430656 in words is "ninety-three billion, eight hundred nineteen million, four hundred thirty thousand, six hundred fifty-six".