164897967818880 has 2304 divisors, whose sum is σ = 653611444761600. Its totient is φ = 39617438515200.

The previous prime is 164897967818833. The next prime is 164897967818951. The reversal of 164897967818880 is 88818769798461.

It is a super-3 number, since 3×164897967818880³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150867307614 + ... + 150867308706.

It is an arithmetic number, because the mean of its divisors is an integer number (283685522900).

Almost surely, 2^{164897967818880} is an apocalyptic number.

164897967818880 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 164897967818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326805722380800).

164897967818880 is an abundant number, since it is smaller than the sum of its proper divisors (488713476942720).

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

164897967818880 is an equidigital number, since it uses as much as digits as its factorization.

164897967818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 18728091648, while the sum is 90.

The spelling of 164897967818880 in words is "one hundred sixty-four trillion, eight hundred ninety-seven billion, nine hundred sixty-seven million, eight hundred eighteen thousand, eight hundred eighty".