22741036416 has 576 divisors, whose sum is σ = 81011810880. Its totient is φ = 6328046592.

The previous prime is 22741036333. The next prime is 22741036421. The reversal of 22741036416 is 61463014722.

22741036416 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 1 + 0 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 65535955 + ... + 65536301.

It is an arithmetic number, because the mean of its divisors is an integer number (140645505).

Almost surely, 2^22741036416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22741036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40505905440).

22741036416 is an abundant number, since it is smaller than the sum of its proper divisors (58270774464).

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

22741036416 is an equidigital number, since it uses as much as digits as its factorization.

22741036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22741036416 in words is "twenty-two billion, seven hundred forty-one million, thirty-six thousand, four hundred sixteen".