334048164961 has 9 divisors (see below), whose sum is σ = 388591347249. Its totient is φ = 286323530724.

The previous prime is 334048164959. The next prime is 334048164997. The reversal of 334048164961 is 169461840433.

The square root of 334048164961 is 577969.

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

It is not a de Polignac number, because 334048164961 - 2¹ = 334048164959 is a prime.

It is a super-2 number, since 2×334048164961² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (334048164941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4004500 + ... + 4087066.

It is an arithmetic number, because the mean of its divisors is an integer number (43176816361).

Almost surely, 2^334048164961 is an apocalyptic number.

334048164961 is the 577969-th square number.

334048164961 is the 288985-th centered octagonal number.

It is an amenable number.

334048164961 is a deficient number, since it is larger than the sum of its proper divisors (54543182288).

334048164961 is an frugal number, since it uses more digits than its factorization.

334048164961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165148 (or 82574 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

Multiplying 334048164961 by its sum of digits (49), we get a square (16368360083089 = 4045783²).

334048164961 divided by its sum of digits (49) gives a square (6817309489 = 82567²).

The spelling of 334048164961 in words is "three hundred thirty-four billion, forty-eight million, one hundred sixty-four thousand, nine hundred sixty-one".