95433788352 has 224 divisors, whose sum is σ = 316086865920. Its totient is φ = 24777768960.

The previous prime is 95433788347. The next prime is 95433788353. The reversal of 95433788352 is 25388733459.

95433788352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×95433788352³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95433788292 and 95433788301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95433788353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590577 + ... + 734607.

It is an arithmetic number, because the mean of its divisors is an integer number (1411102080).

Almost surely, 2^95433788352 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 95433788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158043432960).

95433788352 is an abundant number, since it is smaller than the sum of its proper divisors (220653077568).

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

95433788352 is a wasteful number, since it uses less digits than its factorization.

95433788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144099 (or 144089 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

It can be divided in two parts, 95433 and 788352, that added together give a triangular number (883785 = T₁₃₂₉).

The spelling of 95433788352 in words is "ninety-five billion, four hundred thirty-three million, seven hundred eighty-eight thousand, three hundred fifty-two".