1162948222800 has 3840 divisors, whose sum is σ = 5786296320000. Its totient is φ = 219469824000.

The previous prime is 1162948222757. The next prime is 1162948222817. The reversal of 1162948222800 is 82228492611.

1162948222800 is a `hidden beast` number, since 1 + 1 + 6 + 294 + 82 + 2 + 280 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 28364590780 + ... + 28364590820.

It is an arithmetic number, because the mean of its divisors is an integer number (1506848000).

Almost surely, 2^{1162948222800} is an apocalyptic number.

1162948222800 is a gapful number since it is divisible by the number (10) 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 1162948222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893148160000).

1162948222800 is an abundant number, since it is smaller than the sum of its proper divisors (4623348097200).

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

1162948222800 is a wasteful number, since it uses less digits than its factorization.

1162948222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1162948222800 in words is "one trillion, one hundred sixty-two billion, nine hundred forty-eight million, two hundred twenty-two thousand, eight hundred".