276252638144 has 224 divisors, whose sum is σ = 656137936896. Its totient is φ = 112916643840.

The previous prime is 276252638069. The next prime is 276252638149. The reversal of 276252638144 is 441836252672.

276252638144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 276252638092 and 276252638101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276252638149) 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, 447734924 + ... + 447735540.

Almost surely, 2^276252638144 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 276252638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328068968448).

276252638144 is an abundant number, since it is smaller than the sum of its proper divisors (379885298752).

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

276252638144 is a wasteful number, since it uses less digits than its factorization.

276252638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The spelling of 276252638144 in words is "two hundred seventy-six billion, two hundred fifty-two million, six hundred thirty-eight thousand, one hundred forty-four".