164683792844352 has 126 divisors (see below), whose sum is σ = 490166699074598. Its totient is φ = 54894597474816.

The previous prime is 164683792844309. The next prime is 164683792844383. The reversal of 164683792844352 is 253448297386461.

164683792844352 is a `hidden beast` number, since 1 + 6 + 4 + 68 + 3 + 79 + 2 + 8 + 443 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124051123454976 + 40632669389376 = 11137824^2 + 6374376^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195677053 + ... + 196516860.

Almost surely, 2^{164683792844352} is an apocalyptic number.

164683792844352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164683792844352 is an abundant number, since it is smaller than the sum of its proper divisors (325482906230246).

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

164683792844352 is an frugal number, since it uses more digits than its factorization.

164683792844352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392193949 (or 392193918 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 164683792844352 in words is "one hundred sixty-four trillion, six hundred eighty-three billion, seven hundred ninety-two million, eight hundred forty-four thousand, three hundred fifty-two".