1963149216 has 96 divisors (see below), whose sum is σ = 5915629440. Its totient is φ = 558406656.

The previous prime is 1963149197. The next prime is 1963149233. The reversal of 1963149216 is 6129413691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 147510 + ... + 160266.

It is an arithmetic number, because the mean of its divisors is an integer number (61621140).

Almost surely, 2^1963149216 is an apocalyptic number.

1963149216 is a gapful number since it is divisible by the number (16) 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 1963149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957814720).

1963149216 is an abundant number, since it is smaller than the sum of its proper divisors (3952480224).

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

1963149216 is a wasteful number, since it uses less digits than its factorization.

1963149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12998 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1963149216 is about 44307.4397364596. The cubic root of 1963149216 is about 1252.1348512657.

The spelling of 1963149216 in words is "one billion, nine hundred sixty-three million, one hundred forty-nine thousand, two hundred sixteen".