1153906281216 has 216 divisors, whose sum is σ = 3587151125376. Its totient is φ = 354628730880.

The previous prime is 1153906281191. The next prime is 1153906281263. The reversal of 1153906281216 is 6121826093511.

It is a happy number.

1153906281216 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 9 + 0 + 628 + 1 + 2 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25826256 + ... + 25870896.

It is an arithmetic number, because the mean of its divisors is an integer number (16607181136).

Almost surely, 2^{1153906281216} is an apocalyptic number.

1153906281216 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 1153906281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793575562688).

1153906281216 is an abundant number, since it is smaller than the sum of its proper divisors (2433244844160).

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

1153906281216 is a wasteful number, since it uses less digits than its factorization.

1153906281216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45539 (or 45522 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1153906281216 in words is "one trillion, one hundred fifty-three billion, nine hundred six million, two hundred eighty-one thousand, two hundred sixteen".