1457160016 has 40 divisors (see below), whose sum is σ = 3059144480. Its totient is φ = 668393856.

The previous prime is 1457160007. The next prime is 1457160031. The reversal of 1457160016 is 6100617541.

It is a self number, because there is not a number n which added to its sum of digits gives 1457160016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12415 + ... + 55393.

It is an arithmetic number, because the mean of its divisors is an integer number (76478612).

Almost surely, 2^1457160016 is an apocalyptic number.

1457160016 is a gapful number since it is divisible by the number (16) 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 1457160016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529572240).

1457160016 is an abundant number, since it is smaller than the sum of its proper divisors (1601984464).

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

1457160016 is a wasteful number, since it uses less digits than its factorization.

1457160016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43163 (or 43157 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1457160016 is about 38172.7653700908. The cubic root of 1457160016 is about 1133.7111430891.

Adding to 1457160016 its reverse (6100617541), we get a palindrome (7557777557).

The spelling of 1457160016 in words is "one billion, four hundred fifty-seven million, one hundred sixty thousand, sixteen".