1350956544 has 320 divisors, whose sum is σ = 4596134400. Its totient is φ = 343277568.

The previous prime is 1350956483. The next prime is 1350956567. The reversal of 1350956544 is 4456590531.

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 = 1350956496 and 1350956505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3472702 + ... + 3473090.

It is an arithmetic number, because the mean of its divisors is an integer number (14362920).

Almost surely, 2^1350956544 is an apocalyptic number.

1350956544 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 1350956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298067200).

1350956544 is an abundant number, since it is smaller than the sum of its proper divisors (3245177856).

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

1350956544 is a wasteful number, since it uses less digits than its factorization.

1350956544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 1350956544 is about 36755.3607518686. The cubic root of 1350956544 is about 1105.4704204259.

The spelling of 1350956544 in words is "one billion, three hundred fifty million, nine hundred fifty-six thousand, five hundred forty-four".