1949736203136 has 256 divisors, whose sum is σ = 5894898892800. Its totient is φ = 634215536640.

The previous prime is 1949736203131. The next prime is 1949736203153. The reversal of 1949736203136 is 6313026379491.

1949736203136 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 7 + 3 + 620 + 3 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949736203131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26737221 + ... + 26810043.

It is an arithmetic number, because the mean of its divisors is an integer number (23026948800).

Almost surely, 2^{1949736203136} is an apocalyptic number.

1949736203136 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 1949736203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947449446400).

1949736203136 is an abundant number, since it is smaller than the sum of its proper divisors (3945162689664).

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

1949736203136 is a wasteful number, since it uses less digits than its factorization.

1949736203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73034 (or 73016 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 1949736203136 in words is "one trillion, nine hundred forty-nine billion, seven hundred thirty-six million, two hundred three thousand, one hundred thirty-six".