164312030661600 has 288 divisors, whose sum is σ = 536383054287360. Its totient is φ = 43689811415040.

The previous prime is 164312030661503. The next prime is 164312030661607. The reversal of 164312030661600 is 6166030213461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164312030661607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7040222731 + ... + 7040246069.

It is an arithmetic number, because the mean of its divisors is an integer number (1862441160720).

Almost surely, 2^{164312030661600} is an apocalyptic number.

164312030661600 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 164312030661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268191527143680).

164312030661600 is an abundant number, since it is smaller than the sum of its proper divisors (372071023625760).

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

164312030661600 is a wasteful number, since it uses less digits than its factorization.

164312030661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31722 (or 31709 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 164312030661600 in words is "one hundred sixty-four trillion, three hundred twelve billion, thirty million, six hundred sixty-one thousand, six hundred".