1983608949456 has 480 divisors, whose sum is σ = 6341627859840. Its totient is φ = 597929859072.

The previous prime is 1983608949433. The next prime is 1983608949461. The reversal of 1983608949456 is 6549498063891.

1983608949456 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 6 + 0 + 89 + 494 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144856146 + ... + 144869838.

It is an arithmetic number, because the mean of its divisors is an integer number (13211724708).

Almost surely, 2^{1983608949456} is an apocalyptic number.

1983608949456 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 1983608949456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170813929920).

1983608949456 is an abundant number, since it is smaller than the sum of its proper divisors (4358018910384).

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

1983608949456 is a wasteful number, since it uses less digits than its factorization.

1983608949456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1983608949456 in words is "one trillion, nine hundred eighty-three billion, six hundred eight million, nine hundred forty-nine thousand, four hundred fifty-six".