164425156233000 has 256 divisors, whose sum is σ = 552500436983040. Its totient is φ = 40471546752000.

The previous prime is 164425156232993. The next prime is 164425156233011. The reversal of 164425156233000 is 332651524461.

It is a super-3 number, since 3×164425156233000³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731410615 + ... + 731635385.

It is an arithmetic number, because the mean of its divisors is an integer number (2158204831965).

Almost surely, 2^{164425156233000} is an apocalyptic number.

164425156233000 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 164425156233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276250218491520).

164425156233000 is an abundant number, since it is smaller than the sum of its proper divisors (388075280750040).

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

164425156233000 is a wasteful number, since it uses less digits than its factorization.

164425156233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243565 (or 243551 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 164425156233000 in words is "one hundred sixty-four trillion, four hundred twenty-five billion, one hundred fifty-six million, two hundred thirty-three thousand".