9146166624 has 192 divisors, whose sum is σ = 31539110400. Its totient is φ = 2523032064.

The previous prime is 9146166587. The next prime is 9146166647. The reversal of 9146166624 is 4266616419.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9146166624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149319 + ... + 201465.

It is an arithmetic number, because the mean of its divisors is an integer number (164266200).

Almost surely, 2^9146166624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9146166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769555200).

9146166624 is an abundant number, since it is smaller than the sum of its proper divisors (22392943776).

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

9146166624 is a wasteful number, since it uses less digits than its factorization.

9146166624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52202 (or 52188 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 9146166624 is about 95635.5928721101. The cubic root of 9146166624 is about 2091.2841039305.

The spelling of 9146166624 in words is "nine billion, one hundred forty-six million, one hundred sixty-six thousand, six hundred twenty-four".