1164405312000 has 960 divisors, whose sum is σ = 4811049644544. Its totient is φ = 265155379200.

The previous prime is 1164405311981. The next prime is 1164405312067. The reversal of 1164405312000 is 2135044611.

It is a happy number.

1164405312000 is a `hidden beast` number, since 1 + 1 + 644 + 0 + 5 + 3 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1164405312000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1963583704 + ... + 1963584296.

Almost surely, 2^{1164405312000} is an apocalyptic number.

1164405312000 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 1164405312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405524822272).

1164405312000 is an abundant number, since it is smaller than the sum of its proper divisors (3646644332544).

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

1164405312000 is an equidigital number, since it uses as much as digits as its factorization.

1164405312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1164405312000 in words is "one trillion, one hundred sixty-four billion, four hundred five million, three hundred twelve thousand".