9825114624 has 480 divisors, whose sum is σ = 31430488320. Its totient is φ = 2706407424.

The previous prime is 9825114601. The next prime is 9825114641. The reversal of 9825114624 is 4264115289.

It is a super-2 number, since 2×9825114624² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209044969 + ... + 209045015.

It is an arithmetic number, because the mean of its divisors is an integer number (65480184).

Almost surely, 2^9825114624 is an apocalyptic number.

9825114624 is a gapful number since it is divisible by the number (94) 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 9825114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715244160).

9825114624 is an abundant number, since it is smaller than the sum of its proper divisors (21605373696).

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

9825114624 is a wasteful number, since it uses less digits than its factorization.

9825114624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 9825114624 is about 99121.7162079027. The cubic root of 9825114624 is about 2141.8014516399.

The spelling of 9825114624 in words is "nine billion, eight hundred twenty-five million, one hundred fourteen thousand, six hundred twenty-four".