9618166958400 has 6048 divisors, whose sum is σ = 51167406326400. Its totient is φ = 1677724876800.

The previous prime is 9618166958359. The next prime is 9618166958423. The reversal of 9618166958400 is 48596618169.

9618166958400 is a `hidden beast` number, since 9 + 6 + 1 + 81 + 66 + 95 + 8 + 400 = 666.

9618166958400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 55596340714 + ... + 55596340886.

It is an arithmetic number, because the mean of its divisors is an integer number (8460219300).

Almost surely, 2^{9618166958400} is an apocalyptic number.

9618166958400 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 9618166958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583703163200).

9618166958400 is an abundant number, since it is smaller than the sum of its proper divisors (41549239368000).

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

9618166958400 is a wasteful number, since it uses less digits than its factorization.

9618166958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 9618166958400 in words is "nine trillion, six hundred eighteen billion, one hundred sixty-six million, nine hundred fifty-eight thousand, four hundred".