20146765400112 has 320 divisors, whose sum is σ = 60087530151936. Its totient is φ = 5767252254720.

The previous prime is 20146765400051. The next prime is 20146765400183. The reversal of 20146765400112 is 21100456764102.

It is a super-2 number, since 2×20146765400112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2358273313 + ... + 2358281855.

Almost surely, 2^{20146765400112} 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 20146765400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30043765075968).

20146765400112 is an abundant number, since it is smaller than the sum of its proper divisors (39940764751824).

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

20146765400112 is a wasteful number, since it uses less digits than its factorization.

20146765400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20146765400112 in words is "twenty trillion, one hundred forty-six billion, seven hundred sixty-five million, four hundred thousand, one hundred twelve".