95540337216 has 273 divisors, whose sum is σ = 289848536761. Its totient is φ = 31245896448.

The previous prime is 95540337209. The next prime is 95540337241. The reversal of 95540337216 is 61273304559.

The square root of 95540337216 is 309096.

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

95540337216 is a `hidden beast` number, since 9 + 5 + 540 + 33 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68874753600 + 26665583616 = 262440^2 + 163296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1802647846 + ... + 1802647898.

Almost surely, 2^95540337216 is an apocalyptic number.

95540337216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

95540337216 is the 309096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95540337216

95540337216 is an abundant number, since it is smaller than the sum of its proper divisors (194308199545).

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

95540337216 is an frugal number, since it uses more digits than its factorization.

95540337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 95540337216 in words is "ninety-five billion, five hundred forty million, three hundred thirty-seven thousand, two hundred sixteen".