1282916544 has 224 divisors, whose sum is σ = 4224869376. Its totient is φ = 334540800.

The previous prime is 1282916539. The next prime is 1282916573. The reversal of 1282916544 is 4456192821.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 1282916496 and 1282916505.

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 31 ways as a sum of consecutive naturals, for example, 1764309 + ... + 1765035.

It is an arithmetic number, because the mean of its divisors is an integer number (18861024).

Almost surely, 2^1282916544 is an apocalyptic number.

1282916544 is a gapful number since it is divisible by the number (14) 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 1282916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112434688).

1282916544 is an abundant number, since it is smaller than the sum of its proper divisors (2941952832).

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

1282916544 is a wasteful number, since it uses less digits than its factorization.

1282916544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 853 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 1282916544 is about 35817.8243895410. The cubic root of 1282916544 is about 1086.5910792560.

The spelling of 1282916544 in words is "one billion, two hundred eighty-two million, nine hundred sixteen thousand, five hundred forty-four".