447627202113000 has 2048 divisors, whose sum is σ = 1942060603392000. Its totient is φ = 83055742156800.

The previous prime is 447627202112767. The next prime is 447627202113061. The reversal of 447627202113000 is 311202726744.

It is a super-3 number, since 3×447627202113000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 447627202113000.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6437032231 + ... + 6437101769.

It is an arithmetic number, because the mean of its divisors is an integer number (948271779000).

Almost surely, 2^{447627202113000} is an apocalyptic number.

447627202113000 is a gapful number since it is divisible by the number (40) 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 447627202113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971030301696000).

447627202113000 is an abundant number, since it is smaller than the sum of its proper divisors (1494433401279000).

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

447627202113000 is a wasteful number, since it uses less digits than its factorization.

447627202113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69692 (or 69678 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

Adding to 447627202113000 its reverse (311202726744), we get a palindrome (447938404839744).

The spelling of 447627202113000 in words is "four hundred forty-seven trillion, six hundred twenty-seven billion, two hundred two million, one hundred thirteen thousand".