1945491446976 has 224 divisors, whose sum is σ = 6538684497408. Its totient is φ = 495787868160.

The previous prime is 1945491446963. The next prime is 1945491446993. The reversal of 1945491446976 is 6796441945491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1945491446976.

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 31 ways as a sum of consecutive naturals, for example, 457905 + ... + 2025008.

It is an arithmetic number, because the mean of its divisors is an integer number (29190555792).

Almost surely, 2^{1945491446976} is an apocalyptic number.

1945491446976 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 1945491446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269342248704).

1945491446976 is an abundant number, since it is smaller than the sum of its proper divisors (4593193050432).

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

1945491446976 is a wasteful number, since it uses less digits than its factorization.

1945491446976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482999 (or 2482989 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 1945491446976 in words is "one trillion, nine hundred forty-five billion, four hundred ninety-one million, four hundred forty-six thousand, nine hundred seventy-six".