1456656012 has 72 divisors (see below), whose sum is σ = 4219671456. Its totient is φ = 415044864.

The previous prime is 1456655971. The next prime is 1456656023. The reversal of 1456656012 is 2106566541.

1456656012 is a `hidden beast` number, since 1 + 45 + 6 + 6 + 5 + 601 + 2 = 666.

1456656012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86248 + ... + 101744.

It is an arithmetic number, because the mean of its divisors is an integer number (58606548).

Almost surely, 2^1456656012 is an apocalyptic number.

1456656012 is a gapful number since it is divisible by the number (12) 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 1456656012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109835728).

1456656012 is an abundant number, since it is smaller than the sum of its proper divisors (2763015444).

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

1456656012 is a wasteful number, since it uses less digits than its factorization.

1456656012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15887 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1456656012 is about 38166.1631815408. The cubic root of 1456656012 is about 1133.5804182921.

The spelling of 1456656012 in words is "one billion, four hundred fifty-six million, six hundred fifty-six thousand, twelve".