464102642553456 has 160 divisors (see below), whose sum is σ = 1226538126535680. Its totient is φ = 151150163484672.

The previous prime is 464102642553377. The next prime is 464102642553461. The reversal of 464102642553456 is 654355246201464.

It is a junction number, because it is equal to n+sod(n) for n = 464102642553396 and 464102642553405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6584008260 + ... + 6584078748.

It is an arithmetic number, because the mean of its divisors is an integer number (7665863290848).

Almost surely, 2^{464102642553456} 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 464102642553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613269063267840).

464102642553456 is an abundant number, since it is smaller than the sum of its proper divisors (762435483982224).

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

464102642553456 is a wasteful number, since it uses less digits than its factorization.

464102642553456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75503 (or 75497 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 57.

The spelling of 464102642553456 in words is "four hundred sixty-four trillion, one hundred two billion, six hundred forty-two million, five hundred fifty-three thousand, four hundred fifty-six".