1914536736 has 288 divisors, whose sum is σ = 6835570560. Its totient is φ = 514584576.

The previous prime is 1914536717. The next prime is 1914536747. The reversal of 1914536736 is 6376354191.

It is a happy number.

1914536736 is a `hidden beast` number, since 191 + 453 + 6 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1914536691 and 1914536700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924310 + ... + 926378.

It is an arithmetic number, because the mean of its divisors is an integer number (23734620).

Almost surely, 2^1914536736 is an apocalyptic number.

1914536736 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 1914536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

1914536736 is an abundant number, since it is smaller than the sum of its proper divisors (4921033824).

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

1914536736 is a wasteful number, since it uses less digits than its factorization.

1914536736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2098 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1914536736 is about 43755.4195043311. The cubic root of 1914536736 is about 1241.7130191806.

The spelling of 1914536736 in words is "one billion, nine hundred fourteen million, five hundred thirty-six thousand, seven hundred thirty-six".