1054133322912 has 144 divisors (see below), whose sum is σ = 3121876485000. Its totient is φ = 336983980032.

The previous prime is 1054133322899. The next prime is 1054133322917. The reversal of 1054133322912 is 2192233314501.

1054133322912 is a `hidden beast` number, since 1 + 0 + 5 + 413 + 3 + 3 + 229 + 12 = 666.

1054133322912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 616042893456 + 438090429456 = 784884^2 + 661884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1054133322912² (a number of 25 digits) contains 22 as substring.

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 (1054133322917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820914 + ... + 1667982.

Almost surely, 2^{1054133322912} is an apocalyptic number.

1054133322912 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 1054133322912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560938242500).

1054133322912 is an abundant number, since it is smaller than the sum of its proper divisors (2067743162088).

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

1054133322912 is a wasteful number, since it uses less digits than its factorization.

1054133322912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847263 (or 847252 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1054133322912 in words is "one trillion, fifty-four billion, one hundred thirty-three million, three hundred twenty-two thousand, nine hundred twelve".