1413154085616 has 480 divisors, whose sum is σ = 5075928119808. Its totient is φ = 370624066560.

The previous prime is 1413154085593. The next prime is 1413154085647. The reversal of 1413154085616 is 6165804513141.

1413154085616 is a `hidden beast` number, since 1 + 4 + 1 + 31 + 54 + 0 + 8 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64028215 + ... + 64050281.

Almost surely, 2^{1413154085616} is an apocalyptic number.

1413154085616 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 1413154085616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537964059904).

1413154085616 is an abundant number, since it is smaller than the sum of its proper divisors (3662774034192).

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

1413154085616 is a wasteful number, since it uses less digits than its factorization.

1413154085616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22291 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 1413154085616 its reverse (6165804513141), we get a palindrome (7578958598757).

The spelling of 1413154085616 in words is "one trillion, four hundred thirteen billion, one hundred fifty-four million, eighty-five thousand, six hundred sixteen".