438642614601 has 15 divisors (see below), whose sum is σ = 655265155831. Its totient is φ = 292424435928.

The previous prime is 438642614587. The next prime is 438642614603. The reversal of 438642614601 is 106416246834.

The square root of 438642614601 is 662301.

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

438642614601 is a `hidden beast` number, since 4 + 3 + 8 + 6 + 4 + 26 + 14 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 362101859001 + 76540755600 = 601749^2 + 276660^2 .

It is not a de Polignac number, because 438642614601 - 2⁵ = 438642614569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438642614603) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5923915 + ... + 5997503.

Almost surely, 2^438642614601 is an apocalyptic number.

438642614601 is the 662301-st square number.

438642614601 is the 331151-st centered octagonal number.

It is an amenable number.

438642614601 is a deficient number, since it is larger than the sum of its proper divisors (216622541230).

438642614601 is an frugal number, since it uses more digits than its factorization.

438642614601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147190 (or 73592 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 438642614601 in words is "four hundred thirty-eight billion, six hundred forty-two million, six hundred fourteen thousand, six hundred one".