1173117465600 has 528 divisors, whose sum is σ = 4185481576320. Its totient is φ = 288899072000.

The previous prime is 1173117465503. The next prime is 1173117465601. The reversal of 1173117465600 is 65647113711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1173117465601) by changing a digit.

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, 51214150 + ... + 51237050.

It is an arithmetic number, because the mean of its divisors is an integer number (7927048440).

Almost surely, 2^{1173117465600} is an apocalyptic number.

1173117465600 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 1173117465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092740788160).

1173117465600 is an abundant number, since it is smaller than the sum of its proper divisors (3012364110720).

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

1173117465600 is a wasteful number, since it uses less digits than its factorization.

1173117465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22986 (or 22963 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 1173117465600 in words is "one trillion, one hundred seventy-three billion, one hundred seventeen million, four hundred sixty-five thousand, six hundred".