95305829148 has 96 divisors (see below), whose sum is σ = 261943617600. Its totient is φ = 29863323648.

The previous prime is 95305829141. The next prime is 95305829167. The reversal of 95305829148 is 84192850359.

95305829148 is a `hidden beast` number, since 9 + 5 + 305 + 8 + 291 + 48 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 95305829094 and 95305829103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95305829141) 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 31 ways as a sum of consecutive naturals, for example, 1490736 + ... + 1553352.

It is an arithmetic number, because the mean of its divisors is an integer number (2728579350).

Almost surely, 2^95305829148 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 95305829148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130971808800).

95305829148 is an abundant number, since it is smaller than the sum of its proper divisors (166637788452).

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

95305829148 is a wasteful number, since it uses less digits than its factorization.

95305829148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63476 (or 63468 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 95305829148 in words is "ninety-five billion, three hundred five million, eight hundred twenty-nine thousand, one hundred forty-eight".