22746128689440 has 384 divisors, whose sum is σ = 85768167098880. Its totient is φ = 5596907728896.

The previous prime is 22746128689393. The next prime is 22746128689451. The reversal of 22746128689440 is 4498682164722.

It is a happy number.

22746128689440 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 6 + 128 + 68 + 9 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149478034 + ... + 149630126.

It is an arithmetic number, because the mean of its divisors is an integer number (223354601820).

Almost surely, 2^{22746128689440} is an apocalyptic number.

22746128689440 is a gapful number since it is divisible by the number (20) 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 22746128689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42884083549440).

22746128689440 is an abundant number, since it is smaller than the sum of its proper divisors (63022038409440).

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

22746128689440 is a wasteful number, since it uses less digits than its factorization.

22746128689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154793 (or 154779 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 22746128689440 in words is "twenty-two trillion, seven hundred forty-six billion, one hundred twenty-eight million, six hundred eighty-nine thousand, four hundred forty".