196142144457600 has 1536 divisors, whose sum is σ = 807281062848000. Its totient is φ = 46102398566400.

The previous prime is 196142144457569. The next prime is 196142144457619. The reversal of 196142144457600 is 6754441241691.

196142144457600 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 4 + 21 + 4 + 4 + 4 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4093348842 + ... + 4093396758.

It is an arithmetic number, because the mean of its divisors is an integer number (525573608625).

Almost surely, 2^{196142144457600} is an apocalyptic number.

196142144457600 is a gapful number since it is divisible by the number (10) 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 196142144457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403640531424000).

196142144457600 is an abundant number, since it is smaller than the sum of its proper divisors (611138918390400).

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

196142144457600 is a wasteful number, since it uses less digits than its factorization.

196142144457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48093 (or 48070 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 196142144457600 in words is "one hundred ninety-six trillion, one hundred forty-two billion, one hundred forty-four million, four hundred fifty-seven thousand, six hundred".