104119779456 has 640 divisors, whose sum is σ = 395864219520. Its totient is φ = 26376192000.

The previous prime is 104119779433. The next prime is 104119779461. The reversal of 104119779456 is 654977911401.

It is a happy number.

104119779456 is a `hidden beast` number, since 1 + 0 + 4 + 119 + 7 + 79 + 456 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32730186 + ... + 32733366.

It is an arithmetic number, because the mean of its divisors is an integer number (618537843).

Almost surely, 2^104119779456 is an apocalyptic number.

104119779456 is a gapful number since it is divisible by the number (16) 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 104119779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197932109760).

104119779456 is an abundant number, since it is smaller than the sum of its proper divisors (291744440064).

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

104119779456 is a wasteful number, since it uses less digits than its factorization.

104119779456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 104119779456 in words is "one hundred four billion, one hundred nineteen million, seven hundred seventy-nine thousand, four hundred fifty-six".