4652689356000 has 3072 divisors, whose sum is σ = 21058652160000. Its totient is φ = 995742720000.

The previous prime is 4652689355957. The next prime is 4652689356017. The reversal of 4652689356000 is 6539862564.

4652689356000 is a `hidden beast` number, since 4 + 6 + 5 + 26 + 8 + 9 + 3 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 65530835965 + ... + 65530836035.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030000).

Almost surely, 2^{4652689356000} is an apocalyptic number.

4652689356000 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 4652689356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529326080000).

4652689356000 is an abundant number, since it is smaller than the sum of its proper divisors (16405962804000).

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

4652689356000 is a wasteful number, since it uses less digits than its factorization.

4652689356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4652689356000 in words is "four trillion, six hundred fifty-two billion, six hundred eighty-nine million, three hundred fifty-six thousand".