146191118113776 has 160 divisors (see below), whose sum is σ = 383882963542848. Its totient is φ = 47934052761600.

The previous prime is 146191118113753. The next prime is 146191118113823. The reversal of 146191118113776 is 677311811191641.

146191118113776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985698826 + ... + 985847126.

Almost surely, 2^{146191118113776} is an apocalyptic number.

146191118113776 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 146191118113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191941481771424).

146191118113776 is an abundant number, since it is smaller than the sum of its proper divisors (237691845429072).

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

146191118113776 is a wasteful number, since it uses less digits than its factorization.

146191118113776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149699 (or 149693 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 57.

The spelling of 146191118113776 in words is "one hundred forty-six trillion, one hundred ninety-one billion, one hundred eighteen million, one hundred thirteen thousand, seven hundred seventy-six".