22003654464 has 252 divisors, whose sum is σ = 70512492960. Its totient is φ = 6553536000.

The previous prime is 22003654441. The next prime is 22003654499. The reversal of 22003654464 is 46445630022.

22003654464 is a `hidden beast` number, since 2 + 20 + 0 + 36 + 544 + 64 = 666.

It is a super-2 number, since 2×22003654464² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 4109389 + ... + 4114739.

It is an arithmetic number, because the mean of its divisors is an integer number (279811480).

Almost surely, 2^22003654464 is an apocalyptic number.

22003654464 is a gapful number since it is divisible by the number (24) 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 22003654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35256246480).

22003654464 is an abundant number, since it is smaller than the sum of its proper divisors (48508838496).

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

22003654464 is a wasteful number, since it uses less digits than its factorization.

22003654464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 22003654464 in words is "twenty-two billion, three million, six hundred fifty-four thousand, four hundred sixty-four".