1131403654656 has 480 divisors, whose sum is σ = 3636370891296. Its totient is φ = 335757312000.

The previous prime is 1131403654627. The next prime is 1131403654721. The reversal of 1131403654656 is 6564563041311.

1131403654656 is a `hidden beast` number, since 1 + 1 + 31 + 40 + 36 + 546 + 5 + 6 = 666.

It is a congruent number.

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, 856474476 + ... + 856475796.

Almost surely, 2^{1131403654656} is an apocalyptic number.

1131403654656 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 1131403654656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818185445648).

1131403654656 is an abundant number, since it is smaller than the sum of its proper divisors (2504967236640).

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

1131403654656 is a wasteful number, since it uses less digits than its factorization.

1131403654656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 1131403654656 its reverse (6564563041311), we get a palindrome (7695966695967).

The spelling of 1131403654656 in words is "one trillion, one hundred thirty-one billion, four hundred three million, six hundred fifty-four thousand, six hundred fifty-six".