1412061475968 has 1792 divisors, whose sum is σ = 5340197237760. Its totient is φ = 365574021120.

The previous prime is 1412061475963. The next prime is 1412061475987. The reversal of 1412061475968 is 8695741602141.

1412061475968 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 6 + 1 + 47 + 596 + 8 = 666.

It is a super-2 number, since 2×1412061475968² (a number of 25 digits) contains 22 as substring.

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 (1412061475963) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13196836171 + ... + 13196836277.

It is an arithmetic number, because the mean of its divisors is an integer number (2980020780).

Almost surely, 2^{1412061475968} is an apocalyptic number.

1412061475968 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 1412061475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670098618880).

1412061475968 is an abundant number, since it is smaller than the sum of its proper divisors (3928135761792).

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

1412061475968 is a wasteful number, since it uses less digits than its factorization.

1412061475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1412061475968 in words is "one trillion, four hundred twelve billion, sixty-one million, four hundred seventy-five thousand, nine hundred sixty-eight".