464536701144 has 192 divisors, whose sum is σ = 1317934800000. Its totient is φ = 147623325696.

The previous prime is 464536701143. The next prime is 464536701157. The reversal of 464536701144 is 441107635464.

464536701144 is a `hidden beast` number, since 4 + 6 + 4 + 536 + 70 + 1 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 464536701144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464536701143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194936577 + ... + 194938959.

It is an arithmetic number, because the mean of its divisors is an integer number (6864243750).

Almost surely, 2^464536701144 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 464536701144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658967400000).

464536701144 is an abundant number, since it is smaller than the sum of its proper divisors (853398098856).

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

464536701144 is a wasteful number, since it uses less digits than its factorization.

464536701144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 464536701144 in words is "four hundred sixty-four billion, five hundred thirty-six million, seven hundred one thousand, one hundred forty-four".