93829452948 has 336 divisors, whose sum is σ = 307915413120. Its totient is φ = 24293779200.

The previous prime is 93829452929. The next prime is 93829452953. The reversal of 93829452948 is 84925492839.

93829452948 is a `hidden beast` number, since 93 + 8 + 2 + 9 + 452 + 94 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 114286378 + ... + 114287198.

It is an arithmetic number, because the mean of its divisors is an integer number (916414920).

Almost surely, 2^93829452948 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 93829452948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153957706560).

93829452948 is an abundant number, since it is smaller than the sum of its proper divisors (214085960172).

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

93829452948 is a wasteful number, since it uses less digits than its factorization.

93829452948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1353 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 93829452948 in words is "ninety-three billion, eight hundred twenty-nine million, four hundred fifty-two thousand, nine hundred forty-eight".