102164453310464 has 240 divisors, whose sum is σ = 216690156942336. Its totient is φ = 48089825280000.

The previous prime is 102164453310407. The next prime is 102164453310497. The reversal of 102164453310464 is 464013354461201.

102164453310464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5481798554 + ... + 5481817190.

Almost surely, 2^{102164453310464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102164453310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345078471168).

102164453310464 is an abundant number, since it is smaller than the sum of its proper divisors (114525703631872).

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

102164453310464 is an equidigital number, since it uses as much as digits as its factorization.

102164453310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18990 (or 18964 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 102164453310464 in words is "one hundred two trillion, one hundred sixty-four billion, four hundred fifty-three million, three hundred ten thousand, four hundred sixty-four".