23194957913400 has 768 divisors, whose sum is σ = 93410821324800. Its totient is φ = 4623599646720.

The previous prime is 23194957913377. The next prime is 23194957913447. The reversal of 23194957913400 is 431975949132.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380695339 + ... + 380756261.

It is an arithmetic number, because the mean of its divisors is an integer number (121628673600).

Almost surely, 2^{23194957913400} is an apocalyptic number.

23194957913400 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 23194957913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46705410662400).

23194957913400 is an abundant number, since it is smaller than the sum of its proper divisors (70215863411400).

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

23194957913400 is a wasteful number, since it uses less digits than its factorization.

23194957913400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61348 (or 61339 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 23194957913400 in words is "twenty-three trillion, one hundred ninety-four billion, nine hundred fifty-seven million, nine hundred thirteen thousand, four hundred".