1618177880100 has 144 divisors (see below), whose sum is σ = 4814997723200. Its totient is φ = 419281297920.

The previous prime is 1618177880087. The next prime is 1618177880117. The reversal of 1618177880100 is 10887718161.

It is a self number, because there is not a number n which added to its sum of digits gives 1618177880100.

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, 8104266 + ... + 8301534.

Almost surely, 2^{1618177880100} is an apocalyptic number.

1618177880100 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 1618177880100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407498861600).

1618177880100 is an abundant number, since it is smaller than the sum of its proper divisors (3196819843100).

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

1618177880100 is a wasteful number, since it uses less digits than its factorization.

1618177880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198062 (or 198055 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 48.

The spelling of 1618177880100 in words is "one trillion, six hundred eighteen billion, one hundred seventy-seven million, eight hundred eighty thousand, one hundred".