1455956649 has 81 divisors (see below), whose sum is σ = 2590175133. Its totient is φ = 785728944.

The previous prime is 1455956641. The next prime is 1455956669. The reversal of 1455956649 is 9466595541.

The square root of 1455956649 is 38157.

It is a perfect power (a square), and thus also a powerful number.

1455956649 is a `hidden beast` number, since 1 + 4 + 5 + 595 + 6 + 6 + 49 = 666.

It is not a de Polignac number, because 1455956649 - 2³ = 1455956641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1455956595 and 1455956604.

It is not an unprimeable number, because it can be changed into a prime (1455956641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18429792 + ... + 18429870.

Almost surely, 2^1455956649 is an apocalyptic number.

1455956649 is the 38157-th square number.

1455956649 is the 19079-th centered octagonal number.

It is an amenable number.

1455956649 is a deficient number, since it is larger than the sum of its proper divisors (1134218484).

1455956649 is an equidigital number, since it uses as much as digits as its factorization.

1455956649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The cubic root of 1455956649 is about 1133.3989727746.

The spelling of 1455956649 in words is "one billion, four hundred fifty-five million, nine hundred fifty-six thousand, six hundred forty-nine".