9155806164000 has 240 divisors, whose sum is σ = 33604861746456. Its totient is φ = 2441548224000.

The previous prime is 9155806163971. The next prime is 9155806164007. The reversal of 9155806164000 is 4616085519.

9155806164000 is a `hidden beast` number, since 9 + 1 + 5 + 580 + 6 + 1 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1927687881744 + 7228118282256 = 1388412^2 + 2688516^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (9155806164007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13805331 + ... + 14453330.

Almost surely, 2^{9155806164000} is an apocalyptic number.

9155806164000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9155806164000 is an abundant number, since it is smaller than the sum of its proper divisors (24449055582456).

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

9155806164000 is a wasteful number, since it uses less digits than its factorization.

9155806164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28258698 (or 28258671 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 9155806164000 in words is "nine trillion, one hundred fifty-five billion, eight hundred six million, one hundred sixty-four thousand".