9289616172480 has 672 divisors, whose sum is σ = 38161578012480. Its totient is φ = 2121146818560.

The previous prime is 9289616172461. The next prime is 9289616172511. The reversal of 9289616172480 is 842716169829.

9289616172480 is a `hidden beast` number, since 9 + 2 + 8 + 9 + 6 + 1 + 617 + 2 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 428852850 + ... + 428874510.

Almost surely, 2^{9289616172480} is an apocalyptic number.

9289616172480 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 9289616172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080789006240).

9289616172480 is an abundant number, since it is smaller than the sum of its proper divisors (28871961840000).

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

9289616172480 is a wasteful number, since it uses less digits than its factorization.

9289616172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22714 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 9289616172480 in words is "nine trillion, two hundred eighty-nine billion, six hundred sixteen million, one hundred seventy-two thousand, four hundred eighty".