205210051464 has 64 divisors (see below), whose sum is σ = 561354842880. Its totient is φ = 61996968000.

The previous prime is 205210051451. The next prime is 205210051471. The reversal of 205210051464 is 464150012502.

It is a super-3 number, since 3×205210051464³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086802 + ... + 1261569.

It is an arithmetic number, because the mean of its divisors is an integer number (8771169420).

Almost surely, 2^205210051464 is an apocalyptic number.

205210051464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205210051464 is an abundant number, since it is smaller than the sum of its proper divisors (356144791416).

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

205210051464 is a wasteful number, since it uses less digits than its factorization.

205210051464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348722 (or 2348718 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 205210051464 its reverse (464150012502), we get a palindrome (669360063966).

The spelling of 205210051464 in words is "two hundred five billion, two hundred ten million, fifty-one thousand, four hundred sixty-four".