23190345687040 has 896 divisors, whose sum is σ = 66896114112000. Its totient is φ = 7710887116800.

The previous prime is 23190345687037. The next prime is 23190345687079. The reversal of 23190345687040 is 4078654309132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83719659382 + ... + 83719659658.

It is a 1-persistent number, because it is pandigital, but 2⋅23190345687040 = 46380691374080 is not.

Almost surely, 2^{23190345687040} is an apocalyptic number.

23190345687040 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 23190345687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33448057056000).

23190345687040 is an abundant number, since it is smaller than the sum of its proper divisors (43705768424960).

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

23190345687040 is an equidigital number, since it uses as much as digits as its factorization.

23190345687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 23190345687040 in words is "twenty-three trillion, one hundred ninety billion, three hundred forty-five million, six hundred eighty-seven thousand, forty".