160414205146572 has 192 divisors, whose sum is σ = 407771941699584. Its totient is φ = 48788882288640.

The previous prime is 160414205146487. The next prime is 160414205146579. The reversal of 160414205146572 is 275641502414061.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (160414205146579) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5802214453 + ... + 5802242099.

It is an arithmetic number, because the mean of its divisors is an integer number (2123812196352).

Almost surely, 2^{160414205146572} is an apocalyptic number.

160414205146572 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 160414205146572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885970849792).

160414205146572 is an abundant number, since it is smaller than the sum of its proper divisors (247357736553012).

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

160414205146572 is a wasteful number, since it uses less digits than its factorization.

160414205146572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29048 (or 29046 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 160414205146572 in words is "one hundred sixty trillion, four hundred fourteen billion, two hundred five million, one hundred forty-six thousand, five hundred seventy-two".