464025954971748 has 144 divisors (see below), whose sum is σ = 1189567016064000. Its totient is φ = 140691272641920.

The previous prime is 464025954971713. The next prime is 464025954971791. The reversal of 464025954971748 is 847179459520464.

It is a self number, because there is not a number n which added to its sum of digits gives 464025954971748.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269695903 + ... + 271411001.

It is an arithmetic number, because the mean of its divisors is an integer number (8260882056000).

Almost surely, 2^{464025954971748} 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 464025954971748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594783508032000).

464025954971748 is an abundant number, since it is smaller than the sum of its proper divisors (725541061092252).

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

464025954971748 is a wasteful number, since it uses less digits than its factorization.

464025954971748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717082 (or 1717067 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 75.

The spelling of 464025954971748 in words is "four hundred sixty-four trillion, twenty-five billion, nine hundred fifty-four million, nine hundred seventy-one thousand, seven hundred forty-eight".