1466816230152 has 768 divisors, whose sum is σ = 5353143344640. Its totient is φ = 351844466688.

The previous prime is 1466816230151. The next prime is 1466816230157. The reversal of 1466816230152 is 2510326186641.

1466816230152 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 8 + 1 + 623 + 0 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1466816230098 and 1466816230107.

It is not an unprimeable number, because it can be changed into a prime (1466816230151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 647028523 + ... + 647030789.

It is an arithmetic number, because the mean of its divisors is an integer number (6970238730).

Almost surely, 2^{1466816230152} is an apocalyptic number.

1466816230152 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 1466816230152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676571672320).

1466816230152 is an abundant number, since it is smaller than the sum of its proper divisors (3886327114488).

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

1466816230152 is a wasteful number, since it uses less digits than its factorization.

1466816230152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1466816230152 in words is "one trillion, four hundred sixty-six billion, eight hundred sixteen million, two hundred thirty thousand, one hundred fifty-two".