9498166272 has 792 divisors, whose sum is σ = 35675771040. Its totient is φ = 2508226560.

The previous prime is 9498166267. The next prime is 9498166277. The reversal of 9498166272 is 2726618949.

9498166272 is a `hidden beast` number, since 9 + 4 + 9 + 8 + 1 + 6 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9498166267) and next prime (9498166277).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9498166277) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231662572 + ... + 231662612.

Almost surely, 2^9498166272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9498166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837885520).

9498166272 is an abundant number, since it is smaller than the sum of its proper divisors (26177604768).

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

9498166272 is a wasteful number, since it uses less digits than its factorization.

9498166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9498166272 is about 97458.5361679520. The cubic root of 9498166272 is about 2117.7755140902.

The spelling of 9498166272 in words is "nine billion, four hundred ninety-eight million, one hundred sixty-six thousand, two hundred seventy-two".