10744618104 has 288 divisors, whose sum is σ = 34575465600. Its totient is φ = 2981059200.

The previous prime is 10744618099. The next prime is 10744618121. The reversal of 10744618104 is 40181644701.

10744618104 is a `hidden beast` number, since 107 + 446 + 1 + 8 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14460757 + ... + 14461499.

It is an arithmetic number, because the mean of its divisors is an integer number (120053700).

Almost surely, 2^10744618104 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 10744618104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17287732800).

10744618104 is an abundant number, since it is smaller than the sum of its proper divisors (23830847496).

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

10744618104 is a wasteful number, since it uses less digits than its factorization.

10744618104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10744618104 in words is "ten billion, seven hundred forty-four million, six hundred eighteen thousand, one hundred four".