463848830122500 has 405 divisors, whose sum is σ = 1488053348152371. Its totient is φ = 121789998792000.

The previous prime is 463848830122477. The next prime is 463848830122501. The reversal of 463848830122500 is 5221038848364.

The square root of 463848830122500 is 21537150.

It is a perfect power (a square), and thus also a powerful number.

463848830122500 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 4 + 8 + 8 + 3 + 0 + 122 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36365748281604 + 427483081840896 = 6030402^2 + 20675664^2 .

It is not an unprimeable number, because it can be changed into a prime (463848830122501) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 216448356429 + ... + 216448358571.

Almost surely, 2^{463848830122500} is an apocalyptic number.

463848830122500 is the 21537150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463848830122500

463848830122500 is an abundant number, since it is smaller than the sum of its proper divisors (1024204518029871).

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

463848830122500 is an frugal number, since it uses more digits than its factorization.

463848830122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 463848830122500 in words is "four hundred sixty-three trillion, eight hundred forty-eight billion, eight hundred thirty million, one hundred twenty-two thousand, five hundred".