1438358777856 has 2080 divisors, whose sum is σ = 5946285413376. Its totient is φ = 334430208000.

The previous prime is 1438358777837. The next prime is 1438358777893. The reversal of 1438358777856 is 6587778538341.

1438358777856 is a `hidden beast` number, since 1 + 4 + 38 + 3 + 587 + 7 + 7 + 8 + 5 + 6 = 666.

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

Its product of digits (948326400) is a multiple of the sum of its prime divisors (168).

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 159 ways as a sum of consecutive naturals, for example, 20258574301 + ... + 20258574371.

Almost surely, 2^{1438358777856} is an apocalyptic number.

1438358777856 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 1438358777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973142706688).

1438358777856 is an abundant number, since it is smaller than the sum of its proper divisors (4507926635520).

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

1438358777856 is a wasteful number, since it uses less digits than its factorization.

1438358777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 1438358777856 in words is "one trillion, four hundred thirty-eight billion, three hundred fifty-eight million, seven hundred seventy-seven thousand, eight hundred fifty-six".