1416845952 has 64 divisors (see below), whose sum is σ = 4181673600. Its totient is φ = 472280832.

The previous prime is 1416845951. The next prime is 1416845981. The reversal of 1416845952 is 2595486141.

1416845952 is a `hidden beast` number, since 141 + 6 + 8 + 459 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1416845898 and 1416845907.

It is not an unprimeable number, because it can be changed into a prime (1416845951) 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 7 ways as a sum of consecutive naturals, for example, 201528 + ... + 208439.

It is an arithmetic number, because the mean of its divisors is an integer number (65338650).

Almost surely, 2^1416845952 is an apocalyptic number.

1416845952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1416845952 is an abundant number, since it is smaller than the sum of its proper divisors (2764827648).

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

1416845952 is an equidigital number, since it uses as much as digits as its factorization.

1416845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409990 (or 409972 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 1416845952 is about 37641.0142265056. The cubic root of 1416845952 is about 1123.1580596510.

The spelling of 1416845952 in words is "one billion, four hundred sixteen million, eight hundred forty-five thousand, nine hundred fifty-two".