104946773904000 has 4608 divisors, whose sum is σ = 485969283072000. Its totient is φ = 22376516198400.

The previous prime is 104946773903957. The next prime is 104946773904001. The reversal of 104946773904000 is 409377649401.

104946773904000 is a `hidden beast` number, since 1 + 0 + 4 + 94 + 67 + 7 + 3 + 90 + 400 + 0 = 666.

It is a super-2 number, since 2×104946773904000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104946773904001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 285958511817 + ... + 285958512183.

It is an arithmetic number, because the mean of its divisors is an integer number (105462084000).

Almost surely, 2^{104946773904000} is an apocalyptic number.

104946773904000 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 104946773904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984641536000).

104946773904000 is an abundant number, since it is smaller than the sum of its proper divisors (381022509168000).

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

104946773904000 is an equidigital number, since it uses as much as digits as its factorization.

104946773904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 104946773904000 in words is "one hundred four trillion, nine hundred forty-six billion, seven hundred seventy-three million, nine hundred four thousand".