1145419204608 has 768 divisors, whose sum is σ = 4073981184000. Its totient is φ = 311057252352.

The previous prime is 1145419204597. The next prime is 1145419204621. The reversal of 1145419204608 is 8064029145411.

1145419204608 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 19 + 20 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752080135 + ... + 752081657.

It is an arithmetic number, because the mean of its divisors is an integer number (5304663000).

Almost surely, 2^{1145419204608} is an apocalyptic number.

1145419204608 is a gapful number since it is divisible by the number (18) 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 1145419204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036990592000).

1145419204608 is an abundant number, since it is smaller than the sum of its proper divisors (2928561979392).

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

1145419204608 is a wasteful number, since it uses less digits than its factorization.

1145419204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1145419204608 in words is "one trillion, one hundred forty-five billion, four hundred nineteen million, two hundred four thousand, six hundred eight".