9461145600 has 672 divisors, whose sum is σ = 36566856000. Its totient is φ = 2394685440.

The previous prime is 9461145587. The next prime is 9461145601. The reversal of 9461145600 is 65411649.

9461145600 is a `hidden beast` number, since 9 + 4 + 6 + 1 + 1 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9461145601) 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 47 ways as a sum of consecutive naturals, for example, 160358371 + ... + 160358429.

Almost surely, 2^9461145600 is an apocalyptic number.

9461145600 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 9461145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283428000).

9461145600 is an abundant number, since it is smaller than the sum of its proper divisors (27105710400).

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

9461145600 is a wasteful number, since it uses less digits than its factorization.

9461145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9461145600 is about 97268.4203634458. The cubic root of 9461145600 is about 2115.0204716091.

The spelling of 9461145600 in words is "nine billion, four hundred sixty-one million, one hundred forty-five thousand, six hundred".