20954450037312 has 336 divisors, whose sum is σ = 66935351089152. Its totient is φ = 6212973911040.

The previous prime is 20954450037203. The next prime is 20954450037317. The reversal of 20954450037312 is 21373005445902.

It is a happy number.

20954450037312 is a `hidden beast` number, since 2 + 0 + 95 + 44 + 500 + 3 + 7 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (20954450037317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370728933 + ... + 1370744219.

It is an arithmetic number, because the mean of its divisors is an integer number (199212354432).

Almost surely, 2^{20954450037312} is an apocalyptic number.

20954450037312 is a gapful number since it is divisible by the number (22) 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 20954450037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33467675544576).

20954450037312 is an abundant number, since it is smaller than the sum of its proper divisors (45980901051840).

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

20954450037312 is a wasteful number, since it uses less digits than its factorization.

20954450037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19966 (or 19953 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 20954450037312 in words is "twenty trillion, nine hundred fifty-four billion, four hundred fifty million, thirty-seven thousand, three hundred twelve".