164161402000 has 160 divisors (see below), whose sum is σ = 411192119520. Its totient is φ = 63313510400.

The previous prime is 164161401977. The next prime is 164161402043. The reversal of 164161402000 is 204161461.

It can be written as a sum of positive squares in 16 ways, for example, as 107486933904 + 56674468096 = 327852^2 + 238064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 56664552 + ... + 56667448.

It is an arithmetic number, because the mean of its divisors is an integer number (2569950747).

Almost surely, 2^164161402000 is an apocalyptic number.

164161402000 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 164161402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205596059760).

164161402000 is an abundant number, since it is smaller than the sum of its proper divisors (247030717520).

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

164161402000 is a wasteful number, since it uses less digits than its factorization.

164161402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 164161402000 its reverse (204161461), we get a palindrome (164365563461).

The spelling of 164161402000 in words is "one hundred sixty-four billion, one hundred sixty-one million, four hundred two thousand".