196405072452 has 144 divisors (see below), whose sum is σ = 536027611392. Its totient is φ = 60405396480.

The previous prime is 196405072433. The next prime is 196405072483. The reversal of 196405072452 is 254270504691.

196405072452 is a `hidden beast` number, since 1 + 96 + 4 + 0 + 507 + 2 + 4 + 52 = 666.

196405072452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 196405072398 and 196405072407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73531077 + ... + 73533747.

It is an arithmetic number, because the mean of its divisors is an integer number (3722413968).

Almost surely, 2^196405072452 is an apocalyptic number.

196405072452 is a gapful number since it is divisible by the number (12) 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 196405072452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268013805696).

196405072452 is an abundant number, since it is smaller than the sum of its proper divisors (339622538940).

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

196405072452 is a wasteful number, since it uses less digits than its factorization.

196405072452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 196405072452 in words is "one hundred ninety-six billion, four hundred five million, seventy-two thousand, four hundred fifty-two".