1153494046656 has 896 divisors, whose sum is σ = 4229785190400. Its totient is φ = 301031976960.

The previous prime is 1153494046637. The next prime is 1153494046657. The reversal of 1153494046656 is 6566404943511.

1153494046656 is a `hidden beast` number, since 1 + 1 + 53 + 49 + 40 + 466 + 56 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153494046657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681330546 + ... + 681332238.

It is an arithmetic number, because the mean of its divisors is an integer number (4720742400).

Almost surely, 2^{1153494046656} is an apocalyptic number.

1153494046656 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 1153494046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114892595200).

1153494046656 is an abundant number, since it is smaller than the sum of its proper divisors (3076291143744).

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

1153494046656 is a wasteful number, since it uses less digits than its factorization.

1153494046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1153494046656 in words is "one trillion, one hundred fifty-three billion, four hundred ninety-four million, forty-six thousand, six hundred fifty-six".