1054299316896 has 192 divisors, whose sum is σ = 3520329845760. Its totient is φ = 300714197760.

The previous prime is 1054299316879. The next prime is 1054299316913. The reversal of 1054299316896 is 6986139924501.

1054299316896 is a `hidden beast` number, since 1 + 0 + 542 + 9 + 9 + 3 + 1 + 6 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1054299316879) and next prime (1054299316913).

It is a super-3 number, since 3×1054299316896³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3401691 + ... + 3698661.

It is an arithmetic number, because the mean of its divisors is an integer number (18335051280).

Almost surely, 2^{1054299316896} is an apocalyptic number.

1054299316896 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 1054299316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760164922880).

1054299316896 is an abundant number, since it is smaller than the sum of its proper divisors (2466030528864).

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

1054299316896 is a wasteful number, since it uses less digits than its factorization.

1054299316896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297584 (or 297570 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1054299316896 in words is "one trillion, fifty-four billion, two hundred ninety-nine million, three hundred sixteen thousand, eight hundred ninety-six".