9218292480 has 576 divisors, whose sum is σ = 34393161600. Its totient is φ = 2364899328.

The previous prime is 9218292469. The next prime is 9218292509. The reversal of 9218292480 is 842928129.

It is a happy number.

9218292480 is a `hidden beast` number, since 9 + 2 + 1 + 82 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103576276 + ... + 103576364.

It is an arithmetic number, because the mean of its divisors is an integer number (59710350).

Almost surely, 2^9218292480 is an apocalyptic number.

9218292480 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 9218292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196580800).

9218292480 is an abundant number, since it is smaller than the sum of its proper divisors (25174869120).

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

9218292480 is an frugal number, since it uses more digits than its factorization.

9218292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9218292480 is about 96011.9392575736. The cubic root of 9218292480 is about 2096.7669434671.

The spelling of 9218292480 in words is "nine billion, two hundred eighteen million, two hundred ninety-two thousand, four hundred eighty".