1468414587328 has 168 divisors, whose sum is σ = 3205202008176. Its totient is φ = 667066982400.

The previous prime is 1468414587319. The next prime is 1468414587337. The reversal of 1468414587328 is 8237854148641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1468414587319) and next prime (1468414587337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252258658 + ... + 252264478.

It is an arithmetic number, because the mean of its divisors is an integer number (19078583382).

Almost surely, 2^{1468414587328} 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 1468414587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602601004088).

1468414587328 is an abundant number, since it is smaller than the sum of its proper divisors (1736787420848).

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

1468414587328 is a wasteful number, since it uses less digits than its factorization.

1468414587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6200 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 61.

The spelling of 1468414587328 in words is "one trillion, four hundred sixty-eight billion, four hundred fourteen million, five hundred eighty-seven thousand, three hundred twenty-eight".