161475385600 has 81 divisors (see below), whose sum is σ = 399756395073. Its totient is φ = 64577295360.

The previous prime is 161475385573. The next prime is 161475385657. The reversal of 161475385600 is 6583574161.

It is a happy number.

The square root of 161475385600 is 401840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58131138816 + 103344246784 = 241104^2 + 321472^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32144689 + ... + 32149711.

Almost surely, 2^161475385600 is an apocalyptic number.

161475385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161475385600 is the 401840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161475385600

161475385600 is an abundant number, since it is smaller than the sum of its proper divisors (238281009473).

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

161475385600 is an frugal number, since it uses more digits than its factorization.

161475385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10072 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 161475385600 in words is "one hundred sixty-one billion, four hundred seventy-five million, three hundred eighty-five thousand, six hundred".