104635456611840 has 3840 divisors, whose sum is σ = 522282651770880. Its totient is φ = 19383574855680.

The previous prime is 104635456611809. The next prime is 104635456611863. The reversal of 104635456611840 is 48116654536401.

104635456611840 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 3 + 5 + 456 + 6 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15471748299 + ... + 15471755061.

It is an arithmetic number, because the mean of its divisors is an integer number (136011107232).

Almost surely, 2^{104635456611840} is an apocalyptic number.

104635456611840 is a gapful number since it is divisible by the number (10) 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 104635456611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261141325885440).

104635456611840 is an abundant number, since it is smaller than the sum of its proper divisors (417647195159040).

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

104635456611840 is a wasteful number, since it uses less digits than its factorization.

104635456611840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 104635456611840 in words is "one hundred four trillion, six hundred thirty-five billion, four hundred fifty-six million, six hundred eleven thousand, eight hundred forty".