104288749344 has 288 divisors, whose sum is σ = 331914832704. Its totient is φ = 32020945920.

The previous prime is 104288749337. The next prime is 104288749349. The reversal of 104288749344 is 443947882401.

104288749344 is a `hidden beast` number, since 10 + 4 + 28 + 87 + 493 + 44 = 666.

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

It is a super-2 number, since 2×104288749344² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104288749349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69851062 + ... + 69852554.

It is an arithmetic number, because the mean of its divisors is an integer number (1152482058).

Almost surely, 2^104288749344 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 104288749344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957416352).

104288749344 is an abundant number, since it is smaller than the sum of its proper divisors (227626083360).

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

104288749344 is a wasteful number, since it uses less digits than its factorization.

104288749344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 104288749344 in words is "one hundred four billion, two hundred eighty-eight million, seven hundred forty-nine thousand, three hundred forty-four".