465612153552 has 450 divisors, whose sum is σ = 1690474025394. Its totient is φ = 122635296000.

The previous prime is 465612153551. The next prime is 465612153557. The reversal of 465612153552 is 255351216564.

465612153552 is a `hidden beast` number, since 4 + 6 + 5 + 61 + 2 + 1 + 535 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322346875536 + 143265278016 = 567756^2 + 378504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 465612153498 and 465612153507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465612153551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 619989177 + ... + 619989927.

Almost surely, 2^465612153552 is an apocalyptic number.

465612153552 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465612153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845237012697).

465612153552 is an abundant number, since it is smaller than the sum of its proper divisors (1224861871842).

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

465612153552 is an equidigital number, since it uses as much as digits as its factorization.

465612153552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 776 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 465612153552 in words is "four hundred sixty-five billion, six hundred twelve million, one hundred fifty-three thousand, five hundred fifty-two".