1457703216160 has 96 divisors (see below), whose sum is σ = 3472063322112. Its totient is φ = 578302986240.

The previous prime is 1457703216143. The next prime is 1457703216161. The reversal of 1457703216160 is 616123077541.

It is a super-3 number, since 3×1457703216160³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457703216161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74625595 + ... + 74645125.

It is an arithmetic number, because the mean of its divisors is an integer number (36167326272).

Almost surely, 2^{1457703216160} is an apocalyptic number.

1457703216160 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 1457703216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736031661056).

1457703216160 is an abundant number, since it is smaller than the sum of its proper divisors (2014360105952).

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

1457703216160 is a wasteful number, since it uses less digits than its factorization.

1457703216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23346 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 1457703216160 in words is "one trillion, four hundred fifty-seven billion, seven hundred three million, two hundred sixteen thousand, one hundred sixty".