1993939221456 has 240 divisors, whose sum is σ = 6938821553664. Its totient is φ = 520452366336.

The previous prime is 1993939221403. The next prime is 1993939221493. The reversal of 1993939221456 is 6541229393991.

1993939221456 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 93 + 92 + 2 + 1 + 456 = 666.

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 = 1993939221393 and 1993939221402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486745 + ... + 2055431.

Almost surely, 2^{1993939221456} is an apocalyptic number.

1993939221456 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 1993939221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469410776832).

1993939221456 is an abundant number, since it is smaller than the sum of its proper divisors (4944882332208).

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

1993939221456 is a wasteful number, since it uses less digits than its factorization.

1993939221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568818 (or 1568809 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 1993939221456 in words is "one trillion, nine hundred ninety-three billion, nine hundred thirty-nine million, two hundred twenty-one thousand, four hundred fifty-six".