9838813152 has 96 divisors (see below), whose sum is σ = 30073462272. Its totient is φ = 2758040064.

The previous prime is 9838813097. The next prime is 9838813157. The reversal of 9838813152 is 2513188389.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9838813157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102508 + ... + 173739.

It is an arithmetic number, because the mean of its divisors is an integer number (313265232).

Almost surely, 2^9838813152 is an apocalyptic number.

It is an amenable number.

9838813152 is an abundant number, since it is smaller than the sum of its proper divisors (20234649120).

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

9838813152 is a wasteful number, since it uses less digits than its factorization.

9838813152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276320 (or 276312 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 9838813152 is about 99190.7916693883. The cubic root of 9838813152 is about 2142.7963815863.

The spelling of 9838813152 in words is "nine billion, eight hundred thirty-eight million, eight hundred thirteen thousand, one hundred fifty-two".