1133541620352 has 320 divisors, whose sum is σ = 3459946406400. Its totient is φ = 368222754816.

The previous prime is 1133541620347. The next prime is 1133541620359. The reversal of 1133541620352 is 2530261453311.

1133541620352 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 541 + 62 + 0 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1133541620359) 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, 116458878 + ... + 116468610.

It is an arithmetic number, because the mean of its divisors is an integer number (10812332520).

Almost surely, 2^{1133541620352} is an apocalyptic number.

1133541620352 is a gapful number since it is divisible by the number (12) 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 1133541620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729973203200).

1133541620352 is an abundant number, since it is smaller than the sum of its proper divisors (2326404786048).

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

1133541620352 is an equidigital number, since it uses as much as digits as its factorization.

1133541620352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1133541620352 in words is "one trillion, one hundred thirty-three billion, five hundred forty-one million, six hundred twenty thousand, three hundred fifty-two".