162654378766848 has 800 divisors, whose sum is σ = 519021128736000. Its totient is φ = 50536258338816.

The previous prime is 162654378766829. The next prime is 162654378766849. The reversal of 162654378766848 is 848667873456261.

162654378766848 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 5 + 437 + 87 + 6 + 68 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (162654378766849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38552825283 + ... + 38552829501.

It is an arithmetic number, because the mean of its divisors is an integer number (648776410920).

Almost surely, 2^{162654378766848} is an apocalyptic number.

162654378766848 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 162654378766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259510564368000).

162654378766848 is an abundant number, since it is smaller than the sum of its proper divisors (356366749969152).

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

162654378766848 is a wasteful number, since it uses less digits than its factorization.

162654378766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4757 counting only the distinct ones).

The product of its digits is 15606743040, while the sum is 81.

The spelling of 162654378766848 in words is "one hundred sixty-two trillion, six hundred fifty-four billion, three hundred seventy-eight million, seven hundred sixty-six thousand, eight hundred forty-eight".