20494674432000 has 936 divisors, whose sum is σ = 76731371240472. Its totient is φ = 5464350720000.

The previous prime is 20494674431941. The next prime is 20494674432019. The reversal of 20494674432000 is 23447649402.

20494674432000 is a `hidden beast` number, since 204 + 9 + 4 + 6 + 7 + 4 + 432 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 433448423424 + 20061226008576 = 658368^2 + 4478976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3359228950 + ... + 3359235050.

It is an arithmetic number, because the mean of its divisors is an integer number (81977960727).

Almost surely, 2^{20494674432000} is an apocalyptic number.

20494674432000 is a gapful number since it is divisible by the number (20) 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 20494674432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365685620236).

20494674432000 is an abundant number, since it is smaller than the sum of its proper divisors (56236696808472).

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

20494674432000 is an frugal number, since it uses more digits than its factorization.

20494674432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 20494674432000 in words is "twenty trillion, four hundred ninety-four billion, six hundred seventy-four million, four hundred thirty-two thousand".