1612161178992 has 960 divisors, whose sum is σ = 6325915115520. Its totient is φ = 385256881152.

The previous prime is 1612161178987. The next prime is 1612161179033. The reversal of 1612161178992 is 2998711612161.

1612161178992 is a `hidden beast` number, since 1 + 6 + 12 + 1 + 611 + 7 + 8 + 9 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154608883 + ... + 154619309.

It is an arithmetic number, because the mean of its divisors is an integer number (6589494912).

Almost surely, 2^{1612161178992} is an apocalyptic number.

1612161178992 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 1612161178992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162957557760).

1612161178992 is an abundant number, since it is smaller than the sum of its proper divisors (4713753936528).

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

1612161178992 is a wasteful number, since it uses less digits than its factorization.

1612161178992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10494 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The spelling of 1612161178992 in words is "one trillion, six hundred twelve billion, one hundred sixty-one million, one hundred seventy-eight thousand, nine hundred ninety-two".