22354223364900 has 432 divisors, whose sum is σ = 83908604505600. Its totient is φ = 5090534104320.

The previous prime is 22354223364899. The next prime is 22354223364971. The reversal of 22354223364900 is 946332245322.

22354223364900 is a `hidden beast` number, since 2 + 2 + 354 + 2 + 233 + 64 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×22354223364900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35274637 + ... + 35902763.

It is an arithmetic number, because the mean of its divisors is an integer number (194232880800).

Almost surely, 2^{22354223364900} is an apocalyptic number.

22354223364900 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 22354223364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41954302252800).

22354223364900 is an abundant number, since it is smaller than the sum of its proper divisors (61554381140700).

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

22354223364900 is a wasteful number, since it uses less digits than its factorization.

22354223364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628433 (or 628413 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 22354223364900 in words is "twenty-two trillion, three hundred fifty-four billion, two hundred twenty-three million, three hundred sixty-four thousand, nine hundred".