9500812416 has 48 divisors (see below), whose sum is σ = 27339580710. Its totient is φ = 3166937088.

The previous prime is 9500812393. The next prime is 9500812439. The reversal of 9500812416 is 6142180059.

It is an interprime number because it is at equal distance from previous prime (9500812393) and next prime (9500812439).

It can be written as a sum of positive squares in only one way, i.e., 6638990400 + 2861822016 = 81480^2 + 53496^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4122465 + ... + 4124768.

Almost surely, 2^9500812416 is an apocalyptic number.

9500812416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9500812416 is an abundant number, since it is smaller than the sum of its proper divisors (17838768294).

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

9500812416 is a wasteful number, since it uses less digits than its factorization.

9500812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247253 (or 8247238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9500812416 is about 97472.1109651371. The cubic root of 9500812416 is about 2117.9721632285.

The spelling of 9500812416 in words is "nine billion, five hundred million, eight hundred twelve thousand, four hundred sixteen".