463142405012144 has 40 divisors (see below), whose sum is σ = 1054215754071312. Its totient is φ = 194325484619520.

The previous prime is 463142405012141. The next prime is 463142405012159. The reversal of 463142405012144 is 441210504241364.

It is a super-3 number, since 3×463142405012144³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (463142405012141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101211187619 + ... + 101211192194.

Almost surely, 2^{463142405012144} is an apocalyptic number.

463142405012144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463142405012144 is an abundant number, since it is smaller than the sum of its proper divisors (591073349059168).

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

463142405012144 is a wasteful number, since it uses less digits than its factorization.

463142405012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202422379845 (or 202422379839 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 463142405012144 in words is "four hundred sixty-three trillion, one hundred forty-two billion, four hundred five million, twelve thousand, one hundred forty-four".