465122356608 has 1536 divisors, whose sum is σ = 1791054720000. Its totient is φ = 105605627904.

The previous prime is 465122356549. The next prime is 465122356639. The reversal of 465122356608 is 806653221564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16038701938 + ... + 16038701966.

It is an arithmetic number, because the mean of its divisors is an integer number (1166051250).

Almost surely, 2^465122356608 is an apocalyptic number.

465122356608 is a gapful number since it is divisible by the number (48) 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 465122356608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895527360000).

465122356608 is an abundant number, since it is smaller than the sum of its proper divisors (1325932363392).

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

465122356608 is a wasteful number, since it uses less digits than its factorization.

465122356608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 465122356608 in words is "four hundred sixty-five billion, one hundred twenty-two million, three hundred fifty-six thousand, six hundred eight".