465156450132660 has 672 divisors, whose sum is σ = 1721021293006848. Its totient is φ = 104066499133440.

The previous prime is 465156450132631. The next prime is 465156450132679. The reversal of 465156450132660 is 66231054651564.

465156450132660 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 56 + 4 + 501 + 3 + 26 + 60 = 666.

It is a super-3 number, since 3×465156450132660³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 465156450132597 and 465156450132606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9742900749 + ... + 9742948491.

It is an arithmetic number, because the mean of its divisors is an integer number (2561043590784).

Almost surely, 2^{465156450132660} 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 465156450132660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860510646503424).

465156450132660 is an abundant number, since it is smaller than the sum of its proper divisors (1255864842874188).

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

465156450132660 is a wasteful number, since it uses less digits than its factorization.

465156450132660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52467 (or 52450 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 465156450132660 in words is "four hundred sixty-five trillion, one hundred fifty-six billion, four hundred fifty million, one hundred thirty-two thousand, six hundred sixty".