20954450037311 has 16 divisors (see below), whose sum is σ = 24032933841408. Its totient is φ = 17897271084000.

The previous prime is 20954450037203. The next prime is 20954450037317. The reversal of 20954450037311 is 11373005445902.

It is a happy number.

It is not a de Polignac number, because 20954450037311 - 2³⁰ = 20953376295487 is a prime.

It is a super-3 number, since 3×20954450037311³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025926 + ... + 6783308.

It is an arithmetic number, because the mean of its divisors is an integer number (1502058365088).

Almost surely, 2^{20954450037311} is an apocalyptic number.

20954450037311 is a deficient number, since it is larger than the sum of its proper divisors (3078483804097).

20954450037311 is a wasteful number, since it uses less digits than its factorization.

20954450037311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759622.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 20954450037311 in words is "twenty trillion, nine hundred fifty-four billion, four hundred fifty million, thirty-seven thousand, three hundred eleven".