1054361621214 has 384 divisors, whose sum is σ = 2779742085120. Its totient is φ = 285083884800.

The previous prime is 1054361621197. The next prime is 1054361621239. The reversal of 1054361621214 is 4121261634501.

1054361621214 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 6 + 1 + 621 + 21 + 4 = 666.

It is a super-3 number, since 3×1054361621214³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1892929024 + ... + 1892929580.

It is an arithmetic number, because the mean of its divisors is an integer number (7238911680).

Almost surely, 2^{1054361621214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054361621214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389871042560).

1054361621214 is an abundant number, since it is smaller than the sum of its proper divisors (1725380463906).

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

1054361621214 is a wasteful number, since it uses less digits than its factorization.

1054361621214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1054361621214 in words is "one trillion, fifty-four billion, three hundred sixty-one million, six hundred twenty-one thousand, two hundred fourteen".