142091113653216 has 1152 divisors, whose sum is σ = 534350038924800. Its totient is φ = 36394878320640.

The previous prime is 142091113653179. The next prime is 142091113653233. The reversal of 142091113653216 is 612356311190241.

142091113653216 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 91 + 1 + 13 + 6 + 532 + 16 = 666.

It is a super-2 number, since 2×142091113653216² (a number of 29 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 191 ways as a sum of consecutive naturals, for example, 2695125736 + ... + 2695178456.

It is an arithmetic number, because the mean of its divisors is an integer number (463845519900).

Almost surely, 2^{142091113653216} is an apocalyptic number.

142091113653216 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 142091113653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267175019462400).

142091113653216 is an abundant number, since it is smaller than the sum of its proper divisors (392258925271584).

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

142091113653216 is a wasteful number, since it uses less digits than its factorization.

142091113653216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52909 (or 52888 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 142091113653216 in words is "one hundred forty-two trillion, ninety-one billion, one hundred thirteen million, six hundred fifty-three thousand, two hundred sixteen".