276438133746 has 80 divisors (see below), whose sum is σ = 636241010328. Its totient is φ = 89656761600.

The previous prime is 276438133717. The next prime is 276438133793. The reversal of 276438133746 is 647331834672.

276438133746 is a `hidden beast` number, since 2 + 7 + 6 + 438 + 133 + 74 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 256024868121 + 20413265625 = 505989^2 + 142875^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 276438133692 and 276438133701.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2421676 + ... + 2533256.

Almost surely, 2^276438133746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276438133746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318120505164).

276438133746 is an abundant number, since it is smaller than the sum of its proper divisors (359802876582).

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

276438133746 is a wasteful number, since it uses less digits than its factorization.

276438133746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112009 (or 112000 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 276438133746 in words is "two hundred seventy-six billion, four hundred thirty-eight million, one hundred thirty-three thousand, seven hundred forty-six".