1950436408536 has 576 divisors, whose sum is σ = 6897133152000. Its totient is φ = 492023185920.

The previous prime is 1950436408507. The next prime is 1950436408537. The reversal of 1950436408536 is 6358046340591.

1950436408536 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 43 + 64 + 0 + 8 + 536 = 666.

It is a super-3 number, since 3×1950436408536³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950436408537) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1204715935 + ... + 1204717553.

It is an arithmetic number, because the mean of its divisors is an integer number (11974189500).

Almost surely, 2^{1950436408536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950436408536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448566576000).

1950436408536 is an abundant number, since it is smaller than the sum of its proper divisors (4946696743464).

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

1950436408536 is a wasteful number, since it uses less digits than its factorization.

1950436408536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1950436408536 in words is "one trillion, nine hundred fifty billion, four hundred thirty-six million, four hundred eight thousand, five hundred thirty-six".