464061314136 has 192 divisors, whose sum is σ = 1367699040000. Its totient is φ = 130819449600.

The previous prime is 464061314081. The next prime is 464061314153. The reversal of 464061314136 is 631413160464.

It is a junction number, because it is equal to n+sod(n) for n = 464061314094 and 464061314103.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26450055 + ... + 26467593.

It is an arithmetic number, because the mean of its divisors is an integer number (7123432500).

Almost surely, 2^464061314136 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 464061314136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683849520000).

464061314136 is an abundant number, since it is smaller than the sum of its proper divisors (903637725864).

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

464061314136 is a wasteful number, since it uses less digits than its factorization.

464061314136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862 (or 17851 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 464061314136 in words is "four hundred sixty-four billion, sixty-one million, three hundred fourteen thousand, one hundred thirty-six".