1612181564928 has 480 divisors, whose sum is σ = 5456837168640. Its totient is φ = 452967137280.

The previous prime is 1612181564879. The next prime is 1612181564933. The reversal of 1612181564928 is 8294651812161.

1612181564928 is a `hidden beast` number, since 1 + 6 + 1 + 21 + 81 + 56 + 492 + 8 = 666.

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, 45246576 + ... + 45282192.

It is an arithmetic number, because the mean of its divisors is an integer number (11368410768).

Almost surely, 2^{1612181564928} is an apocalyptic number.

1612181564928 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 1612181564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728418584320).

1612181564928 is an abundant number, since it is smaller than the sum of its proper divisors (3844655603712).

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

1612181564928 is a wasteful number, since it uses less digits than its factorization.

1612181564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35718 (or 35699 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 1612181564928 in words is "one trillion, six hundred twelve billion, one hundred eighty-one million, five hundred sixty-four thousand, nine hundred twenty-eight".