1454575460160 has 224 divisors, whose sum is σ = 4676784095232. Its totient is φ = 383001937920.

The previous prime is 1454575460141. The next prime is 1454575460183. The reversal of 1454575460160 is 610645754541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25696849 + ... + 25753391.

Almost surely, 2^{1454575460160} is an apocalyptic number.

1454575460160 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 1454575460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338392047616).

1454575460160 is an abundant number, since it is smaller than the sum of its proper divisors (3222208635072).

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

1454575460160 is a wasteful number, since it uses less digits than its factorization.

1454575460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56901 (or 56891 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 1454575460160 in words is "one trillion, four hundred fifty-four billion, five hundred seventy-five million, four hundred sixty thousand, one hundred sixty".