104492763123840 has 3072 divisors, whose sum is σ = 488800753459200. Its totient is φ = 20727028776960.

The previous prime is 104492763123829. The next prime is 104492763123869. The reversal of 104492763123840 is 48321367294401.

104492763123840 is a `hidden beast` number, since 1 + 0 + 4 + 492 + 7 + 63 + 12 + 3 + 84 + 0 = 666.

It is a super-3 number, since 3×104492763123840³ (a number of 43 digits) contains 333 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19204695520 + ... + 19204700960.

It is an arithmetic number, because the mean of its divisors is an integer number (159114828600).

Almost surely, 2^{104492763123840} is an apocalyptic number.

104492763123840 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 104492763123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244400376729600).

104492763123840 is an abundant number, since it is smaller than the sum of its proper divisors (384307990335360).

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

104492763123840 is a wasteful number, since it uses less digits than its factorization.

104492763123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 104492763123840 in words is "one hundred four trillion, four hundred ninety-two billion, seven hundred sixty-three million, one hundred twenty-three thousand, eight hundred forty".