104773004586144 has 288 divisors, whose sum is σ = 316443296647296. Its totient is φ = 32769178091520.

The previous prime is 104773004586119. The next prime is 104773004586157. The reversal of 104773004586144 is 441685400377401.

104773004586144 is a `hidden beast` number, since 1 + 0 + 47 + 7 + 3 + 0 + 0 + 4 + 586 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×104773004586144³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262550639 + ... + 2262596945.

It is an arithmetic number, because the mean of its divisors is an integer number (1098761446692).

Almost surely, 2^{104773004586144} 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 104773004586144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158221648323648).

104773004586144 is an abundant number, since it is smaller than the sum of its proper divisors (211670292061152).

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

104773004586144 is a wasteful number, since it uses less digits than its factorization.

104773004586144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47748 (or 47737 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 104773004586144 in words is "one hundred four trillion, seven hundred seventy-three billion, four million, five hundred eighty-six thousand, one hundred forty-four".