20198201142456 has 192 divisors, whose sum is σ = 61019986154400. Its totient is φ = 5998239350784.

The previous prime is 20198201142451. The next prime is 20198201142461. The reversal of 20198201142456 is 65424110289102.

20198201142456 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 82 + 0 + 114 + 2 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (20198201142451) and next prime (20198201142461).

It is a super-2 number, since 2×20198201142456² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20198201142451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27945726 + ... + 28659378.

Almost surely, 2^{20198201142456} 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 20198201142456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30509993077200).

20198201142456 is an abundant number, since it is smaller than the sum of its proper divisors (40821785011944).

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

20198201142456 is a wasteful number, since it uses less digits than its factorization.

20198201142456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714918 (or 714911 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20198201142456 in words is "twenty trillion, one hundred ninety-eight billion, two hundred one million, one hundred forty-two thousand, four hundred fifty-six".