1781158864896 has 432 divisors, whose sum is σ = 5420040181920. Its totient is φ = 585043845120.

The previous prime is 1781158864843. The next prime is 1781158864997. The reversal of 1781158864896 is 6984688511871.

1781158864896 is a `hidden beast` number, since 1 + 7 + 8 + 11 + 58 + 86 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 35 ways as a sum of consecutive naturals, for example, 954020955 + ... + 954022821.

It is an arithmetic number, because the mean of its divisors is an integer number (12546389310).

Almost surely, 2^{1781158864896} is an apocalyptic number.

1781158864896 is a gapful number since it is divisible by the number (16) 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 1781158864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710020090960).

1781158864896 is an abundant number, since it is smaller than the sum of its proper divisors (3638881317024).

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

1781158864896 is an frugal number, since it uses more digits than its factorization.

1781158864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1943 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 72.

The spelling of 1781158864896 in words is "one trillion, seven hundred eighty-one billion, one hundred fifty-eight million, eight hundred sixty-four thousand, eight hundred ninety-six".