1118629540224 has 512 divisors, whose sum is σ = 3844061107200. Its totient is φ = 313627852800.

The previous prime is 1118629540207. The next prime is 1118629540291. The reversal of 1118629540224 is 4220459268111.

1118629540224 is a `hidden beast` number, since 1 + 1 + 1 + 86 + 2 + 9 + 540 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1118629540224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1019716444 + ... + 1019717540.

It is an arithmetic number, because the mean of its divisors is an integer number (7507931850).

Almost surely, 2^{1118629540224} is an apocalyptic number.

1118629540224 is a gapful number since it is divisible by the number (14) 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 1118629540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922030553600).

1118629540224 is an abundant number, since it is smaller than the sum of its proper divisors (2725431566976).

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

1118629540224 is a wasteful number, since it uses less digits than its factorization.

1118629540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1861 counting only the distinct ones).

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

The spelling of 1118629540224 in words is "one trillion, one hundred eighteen billion, six hundred twenty-nine million, five hundred forty thousand, two hundred twenty-four".