102463716402432 has 432 divisors, whose sum is σ = 380207515484160. Its totient is φ = 25755436339200.

The previous prime is 102463716402427. The next prime is 102463716402457. The reversal of 102463716402432 is 234204617364201.

102463716402432 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 637 + 1 + 6 + 4 + 0 + 2 + 4 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3815832 + ... + 14815127.

Almost surely, 2^{102463716402432} is an apocalyptic number.

102463716402432 is a gapful number since it is divisible by the number (12) 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 102463716402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190103757742080).

102463716402432 is an abundant number, since it is smaller than the sum of its proper divisors (277743799081728).

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

102463716402432 is a wasteful number, since it uses less digits than its factorization.

102463716402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631030 (or 18631013 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 102463716402432 in words is "one hundred two trillion, four hundred sixty-three billion, seven hundred sixteen million, four hundred two thousand, four hundred thirty-two".