1944658328256 has 896 divisors, whose sum is σ = 7067536588800. Its totient is φ = 511737937920.

The previous prime is 1944658328219. The next prime is 1944658328287. The reversal of 1944658328256 is 6528238564491.

1944658328256 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 6 + 58 + 328 + 256 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1944658328193 and 1944658328202.

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 127 ways as a sum of consecutive naturals, for example, 2631472335 + ... + 2631473073.

Almost surely, 2^{1944658328256} is an apocalyptic number.

1944658328256 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 1944658328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533768294400).

1944658328256 is an abundant number, since it is smaller than the sum of its proper divisors (5122878260544).

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

1944658328256 is a wasteful number, since it uses less digits than its factorization.

1944658328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1026 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 1944658328256 in words is "one trillion, nine hundred forty-four billion, six hundred fifty-eight million, three hundred twenty-eight thousand, two hundred fifty-six".