9146462976 has 360 divisors, whose sum is σ = 31710893984. Its totient is φ = 2567946240.

The previous prime is 9146462971. The next prime is 9146462989. The reversal of 9146462976 is 6792646419.

It is a happy number.

9146462976 is a `hidden beast` number, since 9 + 1 + 4 + 6 + 4 + 629 + 7 + 6 = 666.

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.

It is not an unprimeable number, because it can be changed into a prime (9146462971) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8853756 + ... + 8854788.

Almost surely, 2^9146462976 is an apocalyptic number.

9146462976 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 9146462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855446992).

9146462976 is an abundant number, since it is smaller than the sum of its proper divisors (22564431008).

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

9146462976 is a wasteful number, since it uses less digits than its factorization.

9146462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1106 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 9146462976 is about 95637.1422408679. The cubic root of 9146462976 is about 2091.3066907897.

The spelling of 9146462976 in words is "nine billion, one hundred forty-six million, four hundred sixty-two thousand, nine hundred seventy-six".