9793108416 has 112 divisors (see below), whose sum is σ = 31890435584. Its totient is φ = 2582793216.

The previous prime is 9793108393. The next prime is 9793108427. The reversal of 9793108416 is 6148013979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×9793108416³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262780 + ... + 297723.

It is an arithmetic number, because the mean of its divisors is an integer number (284736032).

Almost surely, 2^9793108416 is an apocalyptic number.

9793108416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9793108416 is an abundant number, since it is smaller than the sum of its proper divisors (22097327168).

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

9793108416 is a wasteful number, since it uses less digits than its factorization.

9793108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560538 (or 560528 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 9793108416 is about 98960.1354889937. The cubic root of 9793108416 is about 2139.4732170637.

The spelling of 9793108416 in words is "nine billion, seven hundred ninety-three million, one hundred eight thousand, four hundred sixteen".