22434505104000 has 512 divisors, whose sum is σ = 81889771392000. Its totient is φ = 5387825664000.

The previous prime is 22434505103999. The next prime is 22434505104019. The reversal of 22434505104000 is 40150543422.

It is a super-2 number, since 2×22434505104000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56297451 + ... + 56694549.

It is an arithmetic number, because the mean of its divisors is an integer number (159940959750).

Almost surely, 2^{22434505104000} is an apocalyptic number.

22434505104000 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 22434505104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40944885696000).

22434505104000 is an abundant number, since it is smaller than the sum of its proper divisors (59455266288000).

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

22434505104000 is a wasteful number, since it uses less digits than its factorization.

22434505104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397249 (or 397227 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22434505104000 its reverse (40150543422), we get a palindrome (22474655647422).

The spelling of 22434505104000 in words is "twenty-two trillion, four hundred thirty-four billion, five hundred five million, one hundred four thousand".