1468239834880 has 576 divisors, whose sum is σ = 4627187970048. Its totient is φ = 433597317120.

The previous prime is 1468239834797. The next prime is 1468239834883. The reversal of 1468239834880 is 884389328641.

It is a super-2 number, since 2×1468239834880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468239834883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109833957 + ... + 109847323.

It is an arithmetic number, because the mean of its divisors is an integer number (8033312448).

Almost surely, 2^{1468239834880} is an apocalyptic number.

1468239834880 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 1468239834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313593985024).

1468239834880 is an abundant number, since it is smaller than the sum of its proper divisors (3158948135168).

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

1468239834880 is a wasteful number, since it uses less digits than its factorization.

1468239834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 64.

The spelling of 1468239834880 in words is "one trillion, four hundred sixty-eight billion, two hundred thirty-nine million, eight hundred thirty-four thousand, eight hundred eighty".