1183745164800 has 960 divisors, whose sum is σ = 4360769892864. Its totient is φ = 280677580800.

The previous prime is 1183745164769. The next prime is 1183745164829. The reversal of 1183745164800 is 84615473811.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1183745164800.

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 95 ways as a sum of consecutive naturals, for example, 6842457514 + ... + 6842457686.

Almost surely, 2^{1183745164800} is an apocalyptic number.

1183745164800 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 1183745164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180384946432).

1183745164800 is an abundant number, since it is smaller than the sum of its proper divisors (3177024728064).

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

1183745164800 is a wasteful number, since it uses less digits than its factorization.

1183745164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1183745164800 in words is "one trillion, one hundred eighty-three billion, seven hundred forty-five million, one hundred sixty-four thousand, eight hundred".