465438834801 has 32 divisors (see below), whose sum is σ = 726866524800. Its totient is φ = 293541796800.

The previous prime is 465438834799. The next prime is 465438834811. The reversal of 465438834801 is 108438834564.

It is a happy number.

465438834801 is a `hidden beast` number, since 4 + 6 + 54 + 38 + 83 + 480 + 1 = 666.

It is not a de Polignac number, because 465438834801 - 2¹ = 465438834799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465438834811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287526 + ... + 1006751.

It is an arithmetic number, because the mean of its divisors is an integer number (22714578900).

Almost surely, 2^465438834801 is an apocalyptic number.

It is an amenable number.

465438834801 is a deficient number, since it is larger than the sum of its proper divisors (261427689999).

465438834801 is a wasteful number, since it uses less digits than its factorization.

465438834801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295006 (or 1295000 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 465438834801 in words is "four hundred sixty-five billion, four hundred thirty-eight million, eight hundred thirty-four thousand, eight hundred one".