464516954161920 has 216 divisors, whose sum is σ = 1753287572351952. Its totient is φ = 112610170675200.

The previous prime is 464516954161913. The next prime is 464516954161943. The reversal of 464516954161920 is 29161459615464.

464516954161920 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 1 + 6 + 9 + 5 + 4 + 1 + 619 + 2 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1832721111 + ... + 1832974550.

It is an arithmetic number, because the mean of its divisors is an integer number (8117072094222).

Almost surely, 2^{464516954161920} is an apocalyptic number.

464516954161920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464516954161920 is an abundant number, since it is smaller than the sum of its proper divisors (1288770618190032).

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

464516954161920 is a wasteful number, since it uses less digits than its factorization.

464516954161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665695699 (or 3665695682 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 464516954161920 in words is "four hundred sixty-four trillion, five hundred sixteen billion, nine hundred fifty-four million, one hundred sixty-one thousand, nine hundred twenty".