104768419392 has 1008 divisors, whose sum is σ = 397315236864. Its totient is φ = 26127360000.

The previous prime is 104768419391. The next prime is 104768419439. The reversal of 104768419392 is 293914867401.

104768419392 is a `hidden beast` number, since 1 + 0 + 476 + 84 + 1 + 9 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (104768419391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 693830517 + ... + 693830667.

Almost surely, 2^104768419392 is an apocalyptic number.

104768419392 is a gapful number since it is divisible by the number (12) 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 104768419392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198657618432).

104768419392 is an abundant number, since it is smaller than the sum of its proper divisors (292546817472).

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

104768419392 is a wasteful number, since it uses less digits than its factorization.

104768419392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 104768419392 in words is "one hundred four billion, seven hundred sixty-eight million, four hundred nineteen thousand, three hundred ninety-two".