93038948352 has 780 divisors, whose sum is σ = 332180762760. Its totient is φ = 25862602752.

The previous prime is 93038948323. The next prime is 93038948357. The reversal of 93038948352 is 25384983039.

It is a happy number.

93038948352 is a `hidden beast` number, since 9 + 30 + 3 + 89 + 483 + 52 = 666.

It is a super-2 number, since 2×93038948352² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (93038948357) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 959164368 + ... + 959164464.

Almost surely, 2^93038948352 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 93038948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166090381380).

93038948352 is an abundant number, since it is smaller than the sum of its proper divisors (239141814408).

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

93038948352 is an equidigital number, since it uses as much as digits as its factorization.

93038948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 93038948352 in words is "ninety-three billion, thirty-eight million, nine hundred forty-eight thousand, three hundred fifty-two".