164101288606080 has 384 divisors, whose sum is σ = 609393271851360. Its totient is φ = 37452106137600.

The previous prime is 164101288606051. The next prime is 164101288606109. The reversal of 164101288606080 is 80606882101461.

164101288606080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164101288606051) and next prime (164101288606109).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60867460 + ... + 63506300.

Almost surely, 2^{164101288606080} is an apocalyptic number.

164101288606080 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 164101288606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304696635925680).

164101288606080 is an abundant number, since it is smaller than the sum of its proper divisors (445291983245280).

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

164101288606080 is a wasteful number, since it uses less digits than its factorization.

164101288606080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639538 (or 2639519 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 164101288606080 in words is "one hundred sixty-four trillion, one hundred one billion, two hundred eighty-eight million, six hundred six thousand, eighty".