1468174260960 has 960 divisors, whose sum is σ = 5919741273600. Its totient is φ = 339206123520.

The previous prime is 1468174260901. The next prime is 1468174261007. The reversal of 1468174260960 is 690624718641.

1468174260960 is a `hidden beast` number, since 1 + 468 + 1 + 74 + 26 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1468174260897 and 1468174260906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1144328479 + ... + 1144329761.

It is an arithmetic number, because the mean of its divisors is an integer number (6166397160).

Almost surely, 2^{1468174260960} is an apocalyptic number.

1468174260960 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 1468174260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959870636800).

1468174260960 is an abundant number, since it is smaller than the sum of its proper divisors (4451567012640).

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

1468174260960 is a wasteful number, since it uses less digits than its factorization.

1468174260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1468174260960 in words is "one trillion, four hundred sixty-eight billion, one hundred seventy-four million, two hundred sixty thousand, nine hundred sixty".