243146235361400 has 576 divisors, whose sum is σ = 670864874400000. Its totient is φ = 81703215390720.

The previous prime is 243146235361387. The next prime is 243146235361411. The reversal of 243146235361400 is 4163532641342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72386492921 + ... + 72386496279.

It is an arithmetic number, because the mean of its divisors is an integer number (1164695962500).

Almost surely, 2^{243146235361400} is an apocalyptic number.

243146235361400 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 243146235361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335432437200000).

243146235361400 is an abundant number, since it is smaller than the sum of its proper divisors (427718639038600).

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

243146235361400 is a wasteful number, since it uses less digits than its factorization.

243146235361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 243146235361400 in words is "two hundred forty-three trillion, one hundred forty-six billion, two hundred thirty-five million, three hundred sixty-one thousand, four hundred".