1164814634160 has 240 divisors, whose sum is σ = 4000593767040. Its totient is φ = 303647385600.

The previous prime is 1164814634153. The next prime is 1164814634173. The reversal of 1164814634160 is 614364184611.

1164814634160 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 1 + 4 + 634 + 1 + 6 + 0 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5643502 + ... + 5846258.

It is an arithmetic number, because the mean of its divisors is an integer number (16669140696).

Almost surely, 2^{1164814634160} is an apocalyptic number.

1164814634160 is a gapful number since it is divisible by the number (10) 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 1164814634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000296883520).

1164814634160 is an abundant number, since it is smaller than the sum of its proper divisors (2835779132880).

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

1164814634160 is a wasteful number, since it uses less digits than its factorization.

1164814634160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202956 (or 202947 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1164814634160 in words is "one trillion, one hundred sixty-four billion, eight hundred fourteen million, six hundred thirty-four thousand, one hundred sixty".