23150350003140 has 216 divisors, whose sum is σ = 72237865943880. Its totient is φ = 6001090246656.

The previous prime is 23150350003127. The next prime is 23150350003201. The reversal of 23150350003140 is 4130005305132.

23150350003140 is a `hidden beast` number, since 2 + 3 + 15 + 0 + 3 + 500 + 0 + 3 + 140 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 747035233344 + 22403314769796 = 864312^2 + 4733214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273237424 + ... + 273322136.

It is an arithmetic number, because the mean of its divisors is an integer number (334434564555).

Almost surely, 2^{23150350003140} is an apocalyptic number.

23150350003140 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 23150350003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36118932971940).

23150350003140 is an abundant number, since it is smaller than the sum of its proper divisors (49087515940740).

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

23150350003140 is a wasteful number, since it uses less digits than its factorization.

23150350003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85911 (or 85869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 23150350003140 its reverse (4130005305132), we get a palindrome (27280355308272).

The spelling of 23150350003140 in words is "twenty-three trillion, one hundred fifty billion, three hundred fifty million, three thousand, one hundred forty".