1164413646400 has 189 divisors, whose sum is σ = 2926013962921. Its totient is φ = 456079636480.

The previous prime is 1164413646397. The next prime is 1164413646401. The reversal of 1164413646400 is 46463144611.

The square root of 1164413646400 is 1079080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 144539873856 + 1019873772544 = 380184^2 + 1009888^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1164413646401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2287649346 + ... + 2287649854.

Almost surely, 2^{1164413646400} is an apocalyptic number.

1164413646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1164413646400 is the 1079080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164413646400

1164413646400 is an abundant number, since it is smaller than the sum of its proper divisors (1761600316521).

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

1164413646400 is an frugal number, since it uses more digits than its factorization.

1164413646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1164413646400 in words is "one trillion, one hundred sixty-four billion, four hundred thirteen million, six hundred forty-six thousand, four hundred".