11352747456 has 280 divisors, whose sum is σ = 35897312000. Its totient is φ = 3537271296.

The previous prime is 11352747451. The next prime is 11352747463. The reversal of 11352747456 is 65474725311.

11352747456 is a `hidden beast` number, since 1 + 1 + 3 + 527 + 4 + 74 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352747451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7780455 + ... + 7781913.

Almost surely, 2^11352747456 is an apocalyptic number.

11352747456 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 11352747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17948656000).

11352747456 is an abundant number, since it is smaller than the sum of its proper divisors (24544564544).

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

11352747456 is a wasteful number, since it uses less digits than its factorization.

11352747456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1562 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 11352747456 in words is "eleven billion, three hundred fifty-two million, seven hundred forty-seven thousand, four hundred fifty-six".