20849733450 has 768 divisors, whose sum is σ = 75835146240. Its totient is φ = 4092042240.

The previous prime is 20849733413. The next prime is 20849733469. The reversal of 20849733450 is 5433794802.

20849733450 is a `hidden beast` number, since 2 + 0 + 84 + 97 + 33 + 450 = 666.

It is a super-2 number, since 2×20849733450² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20849733396 and 20849733405.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 132800772 + ... + 132800928.

It is an arithmetic number, because the mean of its divisors is an integer number (98743680).

Almost surely, 2^20849733450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20849733450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37917573120).

20849733450 is an abundant number, since it is smaller than the sum of its proper divisors (54985412790).

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

20849733450 is a wasteful number, since it uses less digits than its factorization.

20849733450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20849733450 in words is "twenty billion, eight hundred forty-nine million, seven hundred thirty-three thousand, four hundred fifty".