164415256123000 has 128 divisors (see below), whose sum is σ = 388562743483200. Its totient is φ = 65111296320000.

The previous prime is 164415256122941. The next prime is 164415256123033. The reversal of 164415256123000 is 321652514461.

It is a super-3 number, since 3×164415256123000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 2447095407 + ... + 2447162593.

Almost surely, 2^{164415256123000} is an apocalyptic number.

164415256123000 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 164415256123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194281371741600).

164415256123000 is an abundant number, since it is smaller than the sum of its proper divisors (224147487360200).

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

164415256123000 is a wasteful number, since it uses less digits than its factorization.

164415256123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91538 (or 91524 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 164415256123000 in words is "one hundred sixty-four trillion, four hundred fifteen billion, two hundred fifty-six million, one hundred twenty-three thousand".