1164966374880 has 1152 divisors, whose sum is σ = 5160411389952. Its totient is φ = 234178560000.

The previous prime is 1164966374809. The next prime is 1164966374909. The reversal of 1164966374880 is 884736694611.

It is a happy number.

1164966374880 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 96 + 63 + 7 + 488 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 415909480 + ... + 415912280.

It is an arithmetic number, because the mean of its divisors is an integer number (4479523776).

Almost surely, 2^{1164966374880} is an apocalyptic number.

1164966374880 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 1164966374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580205694976).

1164966374880 is an abundant number, since it is smaller than the sum of its proper divisors (3995445015072).

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

1164966374880 is a wasteful number, since it uses less digits than its factorization.

1164966374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1164966374880 in words is "one trillion, one hundred sixty-four billion, nine hundred sixty-six million, three hundred seventy-four thousand, eight hundred eighty".