1954511416116 has 768 divisors, whose sum is σ = 6257988352000. Its totient is φ = 526727577600.

The previous prime is 1954511416103. The next prime is 1954511416219. The reversal of 1954511416116 is 6116141154591.

1954511416116 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 511 + 4 + 16 + 116 = 666.

It is a super-2 number, since 2×1954511416116² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8110005756 + ... + 8110005996.

Almost surely, 2^{1954511416116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1954511416116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128994176000).

1954511416116 is an abundant number, since it is smaller than the sum of its proper divisors (4303476935884).

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

1954511416116 is a wasteful number, since it uses less digits than its factorization.

1954511416116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The spelling of 1954511416116 in words is "one trillion, nine hundred fifty-four billion, five hundred eleven million, four hundred sixteen thousand, one hundred sixteen".