9754257216 has 168 divisors, whose sum is σ = 28836855712. Its totient is φ = 2906956800.

The previous prime is 9754257169. The next prime is 9754257287. The reversal of 9754257216 is 6127524579.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413711 + ... + 1420593.

Almost surely, 2^9754257216 is an apocalyptic number.

9754257216 is a gapful number since it is divisible by the number (96) 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 9754257216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418427856).

9754257216 is an abundant number, since it is smaller than the sum of its proper divisors (19082598496).

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

9754257216 is a wasteful number, since it uses less digits than its factorization.

9754257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6960 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 9754257216 is about 98763.6431891817. The cubic root of 9754257216 is about 2136.6402294664.

The spelling of 9754257216 in words is "nine billion, seven hundred fifty-four million, two hundred fifty-seven thousand, two hundred sixteen".