4761162144 has 144 divisors (see below), whose sum is σ = 13857951744. Its totient is φ = 1550016000.

The previous prime is 4761162121. The next prime is 4761162149. The reversal of 4761162144 is 4412611674.

It is a happy number.

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

It is a super-2 number, since 2×4761162144² = 45337329922917353472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4761162099 and 4761162108.

It is not an unprimeable number, because it can be changed into a prime (4761162149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4135969 + ... + 4137119.

It is an arithmetic number, because the mean of its divisors is an integer number (96235776).

Almost surely, 2^4761162144 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 4761162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928975872).

4761162144 is an abundant number, since it is smaller than the sum of its proper divisors (9096789600).

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

4761162144 is a wasteful number, since it uses less digits than its factorization.

4761162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1480 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4761162144 is about 69001.1749465181. The cubic root of 4761162144 is about 1682.3034050427.

The spelling of 4761162144 in words is "four billion, seven hundred sixty-one million, one hundred sixty-two thousand, one hundred forty-four".