1319031648 has 384 divisors, whose sum is σ = 4486164480. Its totient is φ = 376358400.

The previous prime is 1319031647. The next prime is 1319031653. The reversal of 1319031648 is 8461309131.

1319031648 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 3 + 1 + 648 = 666.

1319031648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319031643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35649486 + ... + 35649522.

It is an arithmetic number, because the mean of its divisors is an integer number (11682720).

Almost surely, 2^1319031648 is an apocalyptic number.

1319031648 is a gapful number since it is divisible by the number (18) 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 1319031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243082240).

1319031648 is an abundant number, since it is smaller than the sum of its proper divisors (3167132832).

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

1319031648 is a wasteful number, since it uses less digits than its factorization.

1319031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1319031648 is about 36318.4752983932. The cubic root of 1319031648 is about 1096.6930012595.

The spelling of 1319031648 in words is "one billion, three hundred nineteen million, thirty-one thousand, six hundred forty-eight".