164975616000 has 1568 divisors, whose sum is σ = 703945006128. Its totient is φ = 38220595200.

The previous prime is 164975615999. The next prime is 164975616011. The reversal of 164975616000 is 616579461.

It can be written as a sum of positive squares in 8 ways, for example, as 2869530624 + 162106085376 = 53568^2 + 402624^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9704447992 + ... + 9704448008.

Almost surely, 2^164975616000 is an apocalyptic number.

164975616000 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 164975616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351972503064).

164975616000 is an abundant number, since it is smaller than the sum of its proper divisors (538969390128).

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

164975616000 is an frugal number, since it uses more digits than its factorization.

164975616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 164975616000 in words is "one hundred sixty-four billion, nine hundred seventy-five million, six hundred sixteen thousand".