1182144356640 has 384 divisors, whose sum is σ = 4466448000000. Its totient is φ = 290292387840.

The previous prime is 1182144356639. The next prime is 1182144356651. The reversal of 1182144356640 is 466534412811.

1182144356640 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 1 + 4 + 43 + 566 + 40 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 23618361 + ... + 23668359.

It is an arithmetic number, because the mean of its divisors is an integer number (11631375000).

Almost surely, 2^{1182144356640} is an apocalyptic number.

1182144356640 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 1182144356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233224000000).

1182144356640 is an abundant number, since it is smaller than the sum of its proper divisors (3284303643360).

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

1182144356640 is a wasteful number, since it uses less digits than its factorization.

1182144356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50457 (or 50443 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1182144356640 in words is "one trillion, one hundred eighty-two billion, one hundred forty-four million, three hundred fifty-six thousand, six hundred forty".