164887385674752 has 352 divisors, whose sum is σ = 542843375836160. Its totient is φ = 49097977528320.

The previous prime is 164887385674703. The next prime is 164887385674789. The reversal of 164887385674752 is 257476583788461.

164887385674752 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 8 + 7 + 3 + 8 + 567 + 47 + 5 + 2 = 666.

It is a super-2 number, since 2×164887385674752² (a number of 29 digits) contains 22 as substring.

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, 3742878 + ... + 18541410.

Almost surely, 2^{164887385674752} is an apocalyptic number.

164887385674752 is a gapful number since it is divisible by the number (12) 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 164887385674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271421687918080).

164887385674752 is an abundant number, since it is smaller than the sum of its proper divisors (377955990161408).

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

164887385674752 is a wasteful number, since it uses less digits than its factorization.

164887385674752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798606 (or 14798582 counting only the distinct ones).

The product of its digits is 15173222400, while the sum is 81.

The spelling of 164887385674752 in words is "one hundred sixty-four trillion, eight hundred eighty-seven billion, three hundred eighty-five million, six hundred seventy-four thousand, seven hundred fifty-two".