1456888896 has 112 divisors (see below), whose sum is σ = 4421306880. Its totient is φ = 469946880.

The previous prime is 1456888847. The next prime is 1456888903. The reversal of 1456888896 is 6988886541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39970 + ... + 67166.

Almost surely, 2^1456888896 is an apocalyptic number.

1456888896 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 1456888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210653440).

1456888896 is an abundant number, since it is smaller than the sum of its proper divisors (2964417984).

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

1456888896 is a wasteful number, since it uses less digits than its factorization.

1456888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27249 (or 27233 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The square root of 1456888896 is about 38169.2139819515. The cubic root of 1456888896 is about 1133.6408257534.

The spelling of 1456888896 in words is "one billion, four hundred fifty-six million, eight hundred eighty-eight thousand, eight hundred ninety-six".