1456865152 has 64 divisors (see below), whose sum is σ = 2961602640. Its totient is φ = 713687040.

The previous prime is 1456865131. The next prime is 1456865153. The reversal of 1456865152 is 2515686541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1456865152² = 4244912142223966208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1456865099 and 1456865108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456865153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2203702 + ... + 2204362.

Almost surely, 2^1456865152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480801320).

1456865152 is an abundant number, since it is smaller than the sum of its proper divisors (1504737488).

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

1456865152 is an equidigital number, since it uses as much as digits as its factorization.

1456865152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its digits is 288000, while the sum is 43.

The square root of 1456865152 is about 38168.9029446747. The cubic root of 1456865152 is about 1133.6346671245.

The spelling of 1456865152 in words is "one billion, four hundred fifty-six million, eight hundred sixty-five thousand, one hundred fifty-two".