162946346653728 has 192 divisors, whose sum is σ = 529496833904640. Its totient is φ = 48327091718400.

The previous prime is 162946346653709. The next prime is 162946346653747. The reversal of 162946346653728 is 827356643649261.

162946346653728 is a `hidden beast` number, since 1 + 6 + 2 + 9 + 4 + 6 + 3 + 4 + 66 + 537 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (162946346653709) and next prime (162946346653747).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181947228 + ... + 182840603.

It is an arithmetic number, because the mean of its divisors is an integer number (2757796009920).

Almost surely, 2^{162946346653728} is an apocalyptic number.

162946346653728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

162946346653728 is an abundant number, since it is smaller than the sum of its proper divisors (366550487250912).

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

162946346653728 is a wasteful number, since it uses less digits than its factorization.

162946346653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364787908 (or 364787894 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 162946346653728 in words is "one hundred sixty-two trillion, nine hundred forty-six billion, three hundred forty-six million, six hundred fifty-three thousand, seven hundred twenty-eight".