465151211121660 has 192 divisors, whose sum is σ = 1493359909558272. Its totient is φ = 105972043567104.

The previous prime is 465151211121637. The next prime is 465151211121679. The reversal of 465151211121660 is 66121112151564.

It is a happy number.

It is a super-2 number, since 2×465151211121660² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706608912 + ... + 1706881448.

It is an arithmetic number, because the mean of its divisors is an integer number (7777916195616).

Almost surely, 2^{465151211121660} 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 465151211121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746679954779136).

465151211121660 is an abundant number, since it is smaller than the sum of its proper divisors (1028208698436612).

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

465151211121660 is a wasteful number, since it uses less digits than its factorization.

465151211121660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285852 (or 285850 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 465151211121660 in words is "four hundred sixty-five trillion, one hundred fifty-one billion, two hundred eleven million, one hundred twenty-one thousand, six hundred sixty".