162227316326400 has 1764 divisors, whose sum is σ = 650604917700948. Its totient is φ = 39871724912640.

The previous prime is 162227316326381. The next prime is 162227316326431. The reversal of 162227316326400 is 4623613722261.

162227316326400 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 2 + 7 + 3 + 1 + 632 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 34355728613376 + 127871587713024 = 5861376^2 + 11308032^2 .

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 83 ways as a sum of consecutive naturals, for example, 248433868474 + ... + 248433869126.

Almost surely, 2^{162227316326400} is an apocalyptic number.

162227316326400 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 162227316326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325302458850474).

162227316326400 is an abundant number, since it is smaller than the sum of its proper divisors (488377601374548).

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

162227316326400 is an frugal number, since it uses more digits than its factorization.

162227316326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 162227316326400 in words is "one hundred sixty-two trillion, two hundred twenty-seven billion, three hundred sixteen million, three hundred twenty-six thousand, four hundred".