1141453877256 has 320 divisors, whose sum is σ = 4016480117760. Its totient is φ = 294216624000.

The previous prime is 1141453877251. The next prime is 1141453877269. The reversal of 1141453877256 is 6527783541411.

1141453877256 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 5 + 387 + 7 + 256 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1141453877251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6449061 + ... + 6623691.

It is an arithmetic number, because the mean of its divisors is an integer number (12551500368).

Almost surely, 2^{1141453877256} 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 1141453877256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008240058880).

1141453877256 is an abundant number, since it is smaller than the sum of its proper divisors (2875026240504).

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

1141453877256 is a wasteful number, since it uses less digits than its factorization.

1141453877256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174798 (or 174785 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 1141453877256 in words is "one trillion, one hundred forty-one billion, four hundred fifty-three million, eight hundred seventy-seven thousand, two hundred fifty-six".