1018958195808 has 288 divisors, whose sum is σ = 3407540415552. Its totient is φ = 282806784000.

The previous prime is 1018958195791. The next prime is 1018958195821. The reversal of 1018958195808 is 8085918598101.

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10744438 + ... + 10838858.

It is an arithmetic number, because the mean of its divisors is an integer number (11831737554).

Almost surely, 2^{1018958195808} is an apocalyptic number.

1018958195808 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 1018958195808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703770207776).

1018958195808 is an abundant number, since it is smaller than the sum of its proper divisors (2388582219744).

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

1018958195808 is a wasteful number, since it uses less digits than its factorization.

1018958195808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94598 (or 94587 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 63.

The spelling of 1018958195808 in words is "one trillion, eighteen billion, nine hundred fifty-eight million, one hundred ninety-five thousand, eight hundred eight".