1468024469136 has 360 divisors, whose sum is σ = 4535419464576. Its totient is φ = 442367861760.

The previous prime is 1468024469101. The next prime is 1468024469213. The reversal of 1468024469136 is 6319644208641.

1468024469136 is a `hidden beast` number, since 1 + 4 + 6 + 80 + 2 + 446 + 91 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 601401676 + ... + 601404116.

Almost surely, 2^{1468024469136} is an apocalyptic number.

1468024469136 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 1468024469136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267709732288).

1468024469136 is an abundant number, since it is smaller than the sum of its proper divisors (3067394995440).

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

1468024469136 is a wasteful number, since it uses less digits than its factorization.

1468024469136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1468024469136 in words is "one trillion, four hundred sixty-eight billion, twenty-four million, four hundred sixty-nine thousand, one hundred thirty-six".