464514354406752 has 96 divisors (see below), whose sum is σ = 1317991907473920. Its totient is φ = 142400085834240.

The previous prime is 464514354406721. The next prime is 464514354406769. The reversal of 464514354406752 is 257604453415464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 686390602 + ... + 687067017.

It is an arithmetic number, because the mean of its divisors is an integer number (13729082369520).

Almost surely, 2^{464514354406752} is an apocalyptic number.

It is an amenable number.

464514354406752 is an abundant number, since it is smaller than the sum of its proper divisors (853477553067168).

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

464514354406752 is a wasteful number, since it uses less digits than its factorization.

464514354406752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373457916 (or 1373457908 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 60.

The spelling of 464514354406752 in words is "four hundred sixty-four trillion, five hundred fourteen billion, three hundred fifty-four million, four hundred six thousand, seven hundred fifty-two".