472461661732732 has 192 divisors, whose sum is σ = 1019694590853120. Its totient is φ = 187086067027200.

The previous prime is 472461661732721. The next prime is 472461661732741. The reversal of 472461661732732 is 237237166164274.

It is a happy number.

It is a super-2 number, since 2×472461661732732² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36850602882 + ... + 36850615702.

It is an arithmetic number, because the mean of its divisors is an integer number (5310909327360).

Almost surely, 2^{472461661732732} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472461661732732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509847295426560).

472461661732732 is an abundant number, since it is smaller than the sum of its proper divisors (547232929120388).

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

472461661732732 is a wasteful number, since it uses less digits than its factorization.

472461661732732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152 (or 16150 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 61.

The spelling of 472461661732732 in words is "four hundred seventy-two trillion, four hundred sixty-one billion, six hundred sixty-one million, seven hundred thirty-two thousand, seven hundred thirty-two".