102412334739456 has 624 divisors, whose sum is σ = 363139400832000. Its totient is φ = 27720566931456.

The previous prime is 102412334739439. The next prime is 102412334739499. The reversal of 102412334739456 is 654937433214201.

102412334739456 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 2 + 33 + 473 + 94 + 56 = 666.

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, 240029545 + ... + 240455831.

It is an arithmetic number, because the mean of its divisors is an integer number (581954168000).

Almost surely, 2^{102412334739456} is an apocalyptic number.

102412334739456 is a gapful number since it is divisible by the number (16) 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 102412334739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181569700416000).

102412334739456 is an abundant number, since it is smaller than the sum of its proper divisors (260727066092544).

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

102412334739456 is an equidigital number, since it uses as much as digits as its factorization.

102412334739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426357 (or 426318 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 102412334739456 in words is "one hundred two trillion, four hundred twelve billion, three hundred thirty-four million, seven hundred thirty-nine thousand, four hundred fifty-six".