1918005352992 has 288 divisors, whose sum is σ = 5687842672512. Its totient is φ = 635786164224.

The previous prime is 1918005352979. The next prime is 1918005353003. The reversal of 1918005352992 is 2992535008191.

It is a happy number.

1918005352992 is a `hidden beast` number, since 1 + 9 + 1 + 80 + 0 + 535 + 29 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1325504013 + ... + 1325505459.

It is an arithmetic number, because the mean of its divisors is an integer number (19749453724).

Almost surely, 2^{1918005352992} is an apocalyptic number.

1918005352992 is a gapful number since it is divisible by the number (12) 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 1918005352992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843921336256).

1918005352992 is an abundant number, since it is smaller than the sum of its proper divisors (3769837319520).

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

1918005352992 is a wasteful number, since it uses less digits than its factorization.

1918005352992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 1918005352992 in words is "one trillion, nine hundred eighteen billion, five million, three hundred fifty-two thousand, nine hundred ninety-two".