384938553262201 has 27 divisors (see below), whose sum is σ = 406049072414349. Its totient is φ = 364895325497472.

The previous prime is 384938553262049. The next prime is 384938553262217. The reversal of 384938553262201 is 102262355839483.

The square root of 384938553262201 is 19619851.

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

It can be written as a sum of positive squares in 4 ways, for example, as 30268867941225 + 354669685320976 = 5501715^2 + 18832676^2 .

It is not a de Polignac number, because 384938553262201 - 2¹³ = 384938553254009 is a prime.

It is a super-2 number, since 2×384938553262201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 384938553262201.

It is not an unprimeable number, because it can be changed into a prime (384938553262301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50991988975 + ... + 50991996523.

Almost surely, 2^{384938553262201} is an apocalyptic number.

384938553262201 is the 19619851-st square number.

384938553262201 is the 9809926-th centered octagonal number.

It is an amenable number.

384938553262201 is a deficient number, since it is larger than the sum of its proper divisors (21110519152148).

384938553262201 is an frugal number, since it uses more digits than its factorization.

384938553262201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 61.

The spelling of 384938553262201 in words is "three hundred eighty-four trillion, nine hundred thirty-eight billion, five hundred fifty-three million, two hundred sixty-two thousand, two hundred one".