4656138000 has 160 divisors (see below), whose sum is σ = 15496246272. Its totient is φ = 1201536000.

The previous prime is 4656137989. The next prime is 4656138079. The reversal of 4656138000 is 8316564.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173484 + ... + 198516.

Almost surely, 2^4656138000 is an apocalyptic number.

4656138000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748123136).

4656138000 is an abundant number, since it is smaller than the sum of its proper divisors (10840108272).

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

4656138000 is a wasteful number, since it uses less digits than its factorization.

4656138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25090 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4656138000 is about 68235.8996423437. The cubic root of 4656138000 is about 1669.8416190769.

The spelling of 4656138000 in words is "four billion, six hundred fifty-six million, one hundred thirty-eight thousand".