1968227154432 has 960 divisors, whose sum is σ = 7525036366848. Its totient is φ = 498659328000.

The previous prime is 1968227154323. The next prime is 1968227154437. The reversal of 1968227154432 is 2344517228691.

It is a happy number.

1968227154432 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 22 + 71 + 544 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1968227154437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 392778807 + ... + 392783817.

Almost surely, 2^{1968227154432} is an apocalyptic number.

1968227154432 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 1968227154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762518183424).

1968227154432 is an abundant number, since it is smaller than the sum of its proper divisors (5556809212416).

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

1968227154432 is an equidigital number, since it uses as much as digits as its factorization.

1968227154432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5075 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 1968227154432 in words is "one trillion, nine hundred sixty-eight billion, two hundred twenty-seven million, one hundred fifty-four thousand, four hundred thirty-two".