1350983079936 has 1008 divisors, whose sum is σ = 4806509689800. Its totient is φ = 378240565248.

The previous prime is 1350983079931. The next prime is 1350983079973. The reversal of 1350983079936 is 6399703890531.

1350983079936 is a `hidden beast` number, since 1 + 3 + 509 + 8 + 3 + 0 + 7 + 99 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×1350983079936³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350983079931) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4316239716 + ... + 4316240028.

Almost surely, 2^{1350983079936} is an apocalyptic number.

1350983079936 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 1350983079936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403254844900).

1350983079936 is an abundant number, since it is smaller than the sum of its proper divisors (3455526609864).

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

1350983079936 is an frugal number, since it uses more digits than its factorization.

1350983079936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 1350983079936 in words is "one trillion, three hundred fifty billion, nine hundred eighty-three million, seventy-nine thousand, nine hundred thirty-six".