1468736271360 has 440 divisors, whose sum is σ = 5362504791336. Its totient is φ = 384267386880.

The previous prime is 1468736271271. The next prime is 1468736271371. The reversal of 1468736271360 is 631726378641.

It is a happy number.

1468736271360 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 7 + 3 + 6 + 271 + 360 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78525490176 + 1390210781184 = 280224^2 + 1179072^2 .

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 = 1468736271297 and 1468736271306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21946750 + ... + 22013570.

Almost surely, 2^{1468736271360} is an apocalyptic number.

1468736271360 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 1468736271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681252395668).

1468736271360 is an abundant number, since it is smaller than the sum of its proper divisors (3893768519976).

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

1468736271360 is an equidigital number, since it uses as much as digits as its factorization.

1468736271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66911 (or 66884 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1468736271360 in words is "one trillion, four hundred sixty-eight billion, seven hundred thirty-six million, two hundred seventy-one thousand, three hundred sixty".