23145628331520 has 1600 divisors, whose sum is σ = 88312733784000. Its totient is φ = 5784602148864.

The previous prime is 23145628331519. The next prime is 23145628331557. The reversal of 23145628331520 is 2513382654132.

23145628331520 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 5 + 628 + 3 + 3 + 15 + 2 + 0 = 666.

It is a super-2 number, since 2×23145628331520² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31576573074 + ... + 31576573806.

It is an arithmetic number, because the mean of its divisors is an integer number (55195458615).

Almost surely, 2^{23145628331520} is an apocalyptic number.

23145628331520 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 23145628331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44156366892000).

23145628331520 is an abundant number, since it is smaller than the sum of its proper divisors (65167105452480).

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

23145628331520 is an equidigital number, since it uses as much as digits as its factorization.

23145628331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 23145628331520 in words is "twenty-three trillion, one hundred forty-five billion, six hundred twenty-eight million, three hundred thirty-one thousand, five hundred twenty".