905952222450 has 162 divisors, whose sum is σ = 2676035289837. Its totient is φ = 219570938400.

The previous prime is 905952222443. The next prime is 905952222463. The reversal of 905952222450 is 54222259509.

905952222450 is a `hidden beast` number, since 9 + 0 + 59 + 522 + 2 + 24 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 887833178001 + 18119044449 = 942249^2 + 134607^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=673035.

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

It is a junction number, because it is equal to n+sod(n) for n = 905952222396 and 905952222405.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 222099511 + ... + 222103589.

Almost surely, 2^905952222450 is an apocalyptic number.

905952222450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 905952222450

905952222450 is an abundant number, since it is smaller than the sum of its proper divisors (1770083067387).

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

905952222450 is a wasteful number, since it uses less digits than its factorization.

905952222450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 905952222450 in words is "nine hundred five billion, nine hundred fifty-two million, two hundred twenty-two thousand, four hundred fifty".