242463133463100 has 144 divisors (see below), whose sum is σ = 765479963813376. Its totient is φ = 58765258944000.

The previous prime is 242463133463077. The next prime is 242463133463141. The reversal of 242463133463100 is 1364331364242.

242463133463100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242463133463100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5630685 + ... + 22729515.

Almost surely, 2^{242463133463100} is an apocalyptic number.

242463133463100 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 242463133463100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382739981906688).

242463133463100 is an abundant number, since it is smaller than the sum of its proper divisors (523016830350276).

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

242463133463100 is a wasteful number, since it uses less digits than its factorization.

242463133463100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17103156 (or 17103149 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 242463133463100 in words is "two hundred forty-two trillion, four hundred sixty-three billion, one hundred thirty-three million, four hundred sixty-three thousand, one hundred".