464563116000 has 144 divisors (see below), whose sum is σ = 1648734626448. Its totient is φ = 123883488000.

The previous prime is 464563115897. The next prime is 464563116001. The reversal of 464563116000 is 611365464.

It is a happy number.

464563116000 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 631 + 16 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464563116001) by changing a digit.

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, 6416266 + ... + 6488265.

It is an arithmetic number, because the mean of its divisors is an integer number (11449546017).

Almost surely, 2^464563116000 is an apocalyptic number.

464563116000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464563116000 is an abundant number, since it is smaller than the sum of its proper divisors (1184171510448).

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

464563116000 is a wasteful number, since it uses less digits than its factorization.

464563116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904562 (or 12904541 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 464563116000 in words is "four hundred sixty-four billion, five hundred sixty-three million, one hundred sixteen thousand".