500242206461454 has 256 divisors, whose sum is σ = 1181496609792000. Its totient is φ = 156861619200000.

The previous prime is 500242206461453. The next prime is 500242206461461. The reversal of 500242206461454 is 454164602242005.

500242206461454 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 4 + 2 + 20 + 6 + 4 + 614 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500242206461453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13339417704 + ... + 13339455204.

It is an arithmetic number, because the mean of its divisors is an integer number (4615221132000).

Almost surely, 2^{500242206461454} is an apocalyptic number.

500242206461454 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 500242206461454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590748304896000).

500242206461454 is an abundant number, since it is smaller than the sum of its proper divisors (681254403330546).

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

500242206461454 is a wasteful number, since it uses less digits than its factorization.

500242206461454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37917 (or 37865 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 500242206461454 in words is "five hundred trillion, two hundred forty-two billion, two hundred six million, four hundred sixty-one thousand, four hundred fifty-four".