95338912900 has 243 divisors, whose sum is σ = 265191347631. Its totient is φ = 29641920000.

The previous prime is 95338912873. The next prime is 95338912901. The reversal of 95338912900 is 921983359.

The square root of 95338912900 is 308770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25503451204 + 69835461696 = 159698^2 + 264264^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (95338912901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237752700 + ... + 237753100.

Almost surely, 2^95338912900 is an apocalyptic number.

95338912900 is the 308770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95338912900

95338912900 is an abundant number, since it is smaller than the sum of its proper divisors (169852434731).

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

95338912900 is a wasteful number, since it uses less digits than its factorization.

95338912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

Multiplying 95338912900 by its sum of digits (49), we get a square (4671606732100 = 2161390²).

95338912900 divided by its sum of digits (49) gives a square (1945692100 = 44110²).

It can be divided in two parts, 953389 and 12900, that added together give a square (966289 = 983²).

The spelling of 95338912900 in words is "ninety-five billion, three hundred thirty-eight million, nine hundred twelve thousand, nine hundred".