104777773344 has 192 divisors, whose sum is σ = 332325504000. Its totient is φ = 31982874624.

The previous prime is 104777773333. The next prime is 104777773351. The reversal of 104777773344 is 443377777401.

104777773344 is a `hidden beast` number, since 1 + 0 + 477 + 77 + 73 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 447057 + ... + 639855.

It is an arithmetic number, because the mean of its divisors is an integer number (1730862000).

Almost surely, 2^104777773344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104777773344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166162752000).

104777773344 is an abundant number, since it is smaller than the sum of its proper divisors (227547730656).

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

104777773344 is a wasteful number, since it uses less digits than its factorization.

104777773344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192872 (or 192858 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 54.

The spelling of 104777773344 in words is "one hundred four billion, seven hundred seventy-seven million, seven hundred seventy-three thousand, three hundred forty-four".