1928162101968 has 80 divisors (see below), whose sum is σ = 5550962751360. Its totient is φ = 640813469184.

The previous prime is 1928162101963. The next prime is 1928162101997. The reversal of 1928162101968 is 8691012618291.

1928162101968 is a `hidden beast` number, since 1 + 9 + 2 + 8 + 1 + 621 + 0 + 1 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928162101963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6476580 + ... + 6767747.

It is an arithmetic number, because the mean of its divisors is an integer number (69387034392).

Almost surely, 2^{1928162101968} is an apocalyptic number.

1928162101968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1928162101968 is an abundant number, since it is smaller than the sum of its proper divisors (3622800649392).

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

1928162101968 is a wasteful number, since it uses less digits than its factorization.

1928162101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244681 (or 13244669 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1928162101968 in words is "one trillion, nine hundred twenty-eight billion, one hundred sixty-two million, one hundred one thousand, nine hundred sixty-eight".