161138001024 has 768 divisors, whose sum is σ = 642229862400. Its totient is φ = 38623703040.

The previous prime is 161138001007. The next prime is 161138001047. The reversal of 161138001024 is 420100831161.

It is a happy number.

161138001024 is a `hidden beast` number, since 1 + 611 + 38 + 0 + 0 + 10 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44971137 + ... + 44974719.

It is an arithmetic number, because the mean of its divisors is an integer number (836236800).

Almost surely, 2^161138001024 is an apocalyptic number.

161138001024 is a gapful number since it is divisible by the number (14) 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 161138001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321114931200).

161138001024 is an abundant number, since it is smaller than the sum of its proper divisors (481091861376).

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

161138001024 is a wasteful number, since it uses less digits than its factorization.

161138001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 161138001024 its reverse (420100831161), we get a palindrome (581238832185).

The spelling of 161138001024 in words is "one hundred sixty-one billion, one hundred thirty-eight million, one thousand, twenty-four".