1145114604600 has 192 divisors, whose sum is σ = 3633627254400. Its totient is φ = 298162475520.

The previous prime is 1145114604577. The next prime is 1145114604629. The reversal of 1145114604600 is 64064115411.

It is a super-2 number, since 2×1145114604600² (a number of 25 digits) contains 22 as substring.

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, 106626031 + ... + 106636769.

It is an arithmetic number, because the mean of its divisors is an integer number (18925141950).

Almost surely, 2^{1145114604600} is an apocalyptic number.

1145114604600 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 1145114604600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816813627200).

1145114604600 is an abundant number, since it is smaller than the sum of its proper divisors (2488512649800).

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

1145114604600 is a wasteful number, since it uses less digits than its factorization.

1145114604600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14934 (or 14925 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 1145114604600 in words is "one trillion, one hundred forty-five billion, one hundred fourteen million, six hundred four thousand, six hundred".