1179491616000 has 432 divisors, whose sum is σ = 4283206047120. Its totient is φ = 311637196800.

The previous prime is 1179491615927. The next prime is 1179491616011. The reversal of 1179491616000 is 6161949711.

It can be written as a sum of positive squares in 8 ways, for example, as 48689070336 + 1130802545664 = 220656^2 + 1063392^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 31373214 + ... + 31410786.

Almost surely, 2^{1179491616000} is an apocalyptic number.

1179491616000 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 1179491616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141603023560).

1179491616000 is an abundant number, since it is smaller than the sum of its proper divisors (3103714431120).

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

1179491616000 is a wasteful number, since it uses less digits than its factorization.

1179491616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37719 (or 37692 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1179491616000 in words is "one trillion, one hundred seventy-nine billion, four hundred ninety-one million, six hundred sixteen thousand".