9146364480 has 1008 divisors, whose sum is σ = 38829301056. Its totient is φ = 2030469120.

The previous prime is 9146364467. The next prime is 9146364511. The reversal of 9146364480 is 844636419.

9146364480 is a `hidden beast` number, since 9 + 1 + 4 + 636 + 4 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247199022 + ... + 247199058.

It is an arithmetic number, because the mean of its divisors is an integer number (38521132).

Almost surely, 2^9146364480 is an apocalyptic number.

9146364480 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 9146364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414650528).

9146364480 is an abundant number, since it is smaller than the sum of its proper divisors (29682936576).

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

9146364480 is a wasteful number, since it uses less digits than its factorization.

9146364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9146364480 is about 95636.6272931036. The cubic root of 9146364480 is about 2091.2991838410.

The spelling of 9146364480 in words is "nine billion, one hundred forty-six million, three hundred sixty-four thousand, four hundred eighty".