1150222324968 has 384 divisors, whose sum is σ = 3446587216800. Its totient is φ = 345577881600.

The previous prime is 1150222324873. The next prime is 1150222324973. The reversal of 1150222324968 is 8694232220511.

1150222324968 is a `hidden beast` number, since 1 + 1 + 502 + 22 + 32 + 4 + 96 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 99478421604 + 1050743903364 = 315402^2 + 1025058^2 .

It is a super-2 number, since 2×1150222324968² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193214280 + ... + 193220232.

Almost surely, 2^{1150222324968} is an apocalyptic number.

1150222324968 is a gapful number since it is divisible by the number (18) 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 1150222324968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723293608400).

1150222324968 is an abundant number, since it is smaller than the sum of its proper divisors (2296364891832).

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

1150222324968 is a wasteful number, since it uses less digits than its factorization.

1150222324968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1150222324968 in words is "one trillion, one hundred fifty billion, two hundred twenty-two million, three hundred twenty-four thousand, nine hundred sixty-eight".