1164465694080 has 640 divisors, whose sum is σ = 4492142424000. Its totient is φ = 285758668800.

The previous prime is 1164465694009. The next prime is 1164465694103. The reversal of 1164465694080 is 804965644611.

1164465694080 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 465 + 69 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1164465694080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235195605 + ... + 235200555.

Almost surely, 2^{1164465694080} is an apocalyptic number.

1164465694080 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 1164465694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246071212000).

1164465694080 is an abundant number, since it is smaller than the sum of its proper divisors (3327676729920).

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

1164465694080 is a wasteful number, since it uses less digits than its factorization.

1164465694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1164465694080 in words is "one trillion, one hundred sixty-four billion, four hundred sixty-five million, six hundred ninety-four thousand, eighty".