1618163205120 has 3168 divisors, whose sum is σ = 7828283473920. Its totient is φ = 316036546560.

The previous prime is 1618163205097. The next prime is 1618163205157. The reversal of 1618163205120 is 215023618161.

1618163205120 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 1 + 632 + 0 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12741442497 + ... + 12741442623.

Almost surely, 2^{1618163205120} is an apocalyptic number.

1618163205120 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 1618163205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914141736960).

1618163205120 is an abundant number, since it is smaller than the sum of its proper divisors (6210120268800).

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

1618163205120 is a wasteful number, since it uses less digits than its factorization.

1618163205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1618163205120 in words is "one trillion, six hundred eighteen billion, one hundred sixty-three million, two hundred five thousand, one hundred twenty".