4667625144 has 144 divisors (see below), whose sum is σ = 15836740920. Its totient is φ = 1231009920.

The previous prime is 4667625119. The next prime is 4667625161. The reversal of 4667625144 is 4415267664.

4667625144 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 625 + 14 + 4 = 666.

It is a super-3 number, since 3×4667625144³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4667625144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5022 + ... + 96749.

Almost surely, 2^4667625144 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 4667625144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918370460).

4667625144 is an abundant number, since it is smaller than the sum of its proper divisors (11169115776).

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

4667625144 is a wasteful number, since it uses less digits than its factorization.

4667625144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101810 (or 101796 counting only the distinct ones).

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

The square root of 4667625144 is about 68320.0200819643. The cubic root of 4667625144 is about 1671.2137117382.

It can be divided in two parts, 466762 and 5144, that added together give a triangular number (471906 = T₉₇₁).

The spelling of 4667625144 in words is "four billion, six hundred sixty-seven million, six hundred twenty-five thousand, one hundred forty-four".