104314707560448 has 672 divisors, whose sum is σ = 389890917823680. Its totient is φ = 27094699376640.

The previous prime is 104314707560447. The next prime is 104314707560449. The reversal of 104314707560448 is 844065707413401.

104314707560448 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 4 + 70 + 7 + 560 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (104314707560447) and next prime (104314707560449).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 104314707560394 and 104314707560403.

It is not an unprimeable number, because it can be changed into a prime (104314707560447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114506686 + ... + 115414082.

It is an arithmetic number, because the mean of its divisors is an integer number (580194818190).

Almost surely, 2^{104314707560448} is an apocalyptic number.

104314707560448 is a gapful number since it is divisible by the number (18) 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 104314707560448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194945458911840).

104314707560448 is an abundant number, since it is smaller than the sum of its proper divisors (285576210263232).

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

104314707560448 is an frugal number, since it uses more digits than its factorization.

104314707560448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907455 (or 907420 counting only the distinct ones).

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

The spelling of 104314707560448 in words is "one hundred four trillion, three hundred fourteen billion, seven hundred seven million, five hundred sixty thousand, four hundred forty-eight".