22551144405200 has 120 divisors (see below), whose sum is σ = 54406954380120. Its totient is φ = 8982547660800.

The previous prime is 22551144405143. The next prime is 22551144405233. The reversal of 22551144405200 is 250444115522.

It can be written as a sum of positive squares in 12 ways, for example, as 1394014707856 + 21157129697344 = 1180684^2 + 4599688^2 .

It is a super-2 number, since 2×22551144405200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 345478166 + ... + 345543434.

It is an arithmetic number, because the mean of its divisors is an integer number (453391286501).

Almost surely, 2^{22551144405200} is an apocalyptic number.

22551144405200 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 22551144405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203477190060).

22551144405200 is an abundant number, since it is smaller than the sum of its proper divisors (31855809974920).

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

22551144405200 is a wasteful number, since it uses less digits than its factorization.

22551144405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68905 (or 68894 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 22551144405200 in words is "twenty-two trillion, five hundred fifty-one billion, one hundred forty-four million, four hundred five thousand, two hundred".