23208188661000 has 1024 divisors, whose sum is σ = 92861359718400. Its totient is φ = 5252252544000.

The previous prime is 23208188660989. The next prime is 23208188661037. The reversal of 23208188661000 is 16688180232.

23208188661000 is a `hidden beast` number, since 2 + 3 + 20 + 8 + 1 + 8 + 8 + 6 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22730840490 + ... + 22730841510.

It is an arithmetic number, because the mean of its divisors is an integer number (90684921600).

Almost surely, 2^{23208188661000} is an apocalyptic number.

23208188661000 is a gapful number since it is divisible by the number (20) 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 23208188661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46430679859200).

23208188661000 is an abundant number, since it is smaller than the sum of its proper divisors (69653171057400).

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

23208188661000 is a wasteful number, since it uses less digits than its factorization.

23208188661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 23208188661000 in words is "twenty-three trillion, two hundred eight billion, one hundred eighty-eight million, six hundred sixty-one thousand".