162812181228480 has 3584 divisors, whose sum is σ = 726754000896000. Its totient is φ = 33480345600000.

The previous prime is 162812181228451. The next prime is 162812181228503. The reversal of 162812181228480 is 84822181218261.

162812181228480 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 121 + 8 + 12 + 28 + 480 = 666.

It is a super-2 number, since 2×162812181228480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 648654108355 + ... + 648654108605.

It is an arithmetic number, because the mean of its divisors is an integer number (202777344000).

Almost surely, 2^{162812181228480} is an apocalyptic number.

162812181228480 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 162812181228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363377000448000).

162812181228480 is an abundant number, since it is smaller than the sum of its proper divisors (563941819667520).

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

162812181228480 is a wasteful number, since it uses less digits than its factorization.

162812181228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 162812181228480 in words is "one hundred sixty-two trillion, eight hundred twelve billion, one hundred eighty-one million, two hundred twenty-eight thousand, four hundred eighty".