1134480162816 has 1920 divisors, whose sum is σ = 4707978826320. Its totient is φ = 267544166400.

The previous prime is 1134480162737. The next prime is 1134480162817. The reversal of 1134480162816 is 6182610844311.

1134480162816 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 8 + 0 + 1 + 628 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134480162817) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18598035426 + ... + 18598035486.

Almost surely, 2^{1134480162816} is an apocalyptic number.

1134480162816 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 1134480162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353989413160).

1134480162816 is an abundant number, since it is smaller than the sum of its proper divisors (3573498663504).

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

1134480162816 is an equidigital number, since it uses as much as digits as its factorization.

1134480162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1134480162816 in words is "one trillion, one hundred thirty-four billion, four hundred eighty million, one hundred sixty-two thousand, eight hundred sixteen".