1463957145 has 96 divisors (see below), whose sum is σ = 3078147072. Its totient is φ = 653510592.

The previous prime is 1463957123. The next prime is 1463957161. The reversal of 1463957145 is 5417593641.

1463957145 is a `hidden beast` number, since 1 + 4 + 6 + 39 + 571 + 45 = 666.

It is not a de Polignac number, because 1463957145 - 2¹³ = 1463948953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1463957145.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363714 + ... + 367716.

It is an arithmetic number, because the mean of its divisors is an integer number (32064032).

Almost surely, 2^1463957145 is an apocalyptic number.

1463957145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1463957145 is an abundant number, since it is smaller than the sum of its proper divisors (1614189927).

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

1463957145 is an equidigital number, since it uses as much as digits as its factorization.

1463957145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4061 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1463957145 is about 38261.6929186360. The cubic root of 1463957145 is about 1135.4711945772.

The spelling of 1463957145 in words is "one billion, four hundred sixty-three million, nine hundred fifty-seven thousand, one hundred forty-five".