464956387152 has 160 divisors (see below), whose sum is σ = 1240262284800. Its totient is φ = 150043705344.

The previous prime is 464956387127. The next prime is 464956387153. The reversal of 464956387152 is 251783659464.

It is a happy number.

It is a super-2 number, since 2×464956387152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464956387153) 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 31 ways as a sum of consecutive naturals, for example, 40087018 + ... + 40098614.

It is an arithmetic number, because the mean of its divisors is an integer number (7751639280).

Almost surely, 2^464956387152 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 464956387152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620131142400).

464956387152 is an abundant number, since it is smaller than the sum of its proper divisors (775305897648).

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

464956387152 is a wasteful number, since it uses less digits than its factorization.

464956387152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11887 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 464956387152 in words is "four hundred sixty-four billion, nine hundred fifty-six million, three hundred eighty-seven thousand, one hundred fifty-two".