9814633920 has 1344 divisors, whose sum is σ = 45976519680. Its totient is φ = 1934917632.

The previous prime is 9814633889. The next prime is 9814633931. The reversal of 9814633920 is 293364189.

It is a happy number.

9814633920 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 633 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×9814633920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134447004 + ... + 134447076.

It is an arithmetic number, because the mean of its divisors is an integer number (34208720).

Almost surely, 2^9814633920 is an apocalyptic number.

9814633920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9814633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988259840).

9814633920 is an abundant number, since it is smaller than the sum of its proper divisors (36161885760).

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

9814633920 is a wasteful number, since it uses less digits than its factorization.

9814633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9814633920 is about 99068.8342517464. The cubic root of 9814633920 is about 2141.0396090069.

The spelling of 9814633920 in words is "nine billion, eight hundred fourteen million, six hundred thirty-three thousand, nine hundred twenty".