1468890540000 has 1080 divisors, whose sum is σ = 5716914283080. Its totient is φ = 357447168000.

The previous prime is 1468890539989. The next prime is 1468890540041. The reversal of 1468890540000 is 450988641.

1468890540000 is a `hidden beast` number, since 14 + 6 + 8 + 8 + 90 + 540 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3315779779 + ... + 3315780221.

It is an arithmetic number, because the mean of its divisors is an integer number (5293439151).

Almost surely, 2^{1468890540000} is an apocalyptic number.

1468890540000 is a gapful number since it is divisible by the number (10) 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 1468890540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858457141540).

1468890540000 is an abundant number, since it is smaller than the sum of its proper divisors (4248023743080).

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

1468890540000 is a wasteful number, since it uses less digits than its factorization.

1468890540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1468890540000 in words is "one trillion, four hundred sixty-eight billion, eight hundred ninety million, five hundred forty thousand".