194949357151680 has 1344 divisors, whose sum is σ = 720433503504000. Its totient is φ = 48290904539136.

The previous prime is 194949357151613. The next prime is 194949357151733. The reversal of 194949357151680 is 86151753949491.

194949357151680 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 4 + 9 + 35 + 71 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 194949357151599 and 194949357151608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108971132226 + ... + 108971134014.

Almost surely, 2^{194949357151680} is an apocalyptic number.

194949357151680 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 194949357151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360216751752000).

194949357151680 is an abundant number, since it is smaller than the sum of its proper divisors (525484146352320).

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

194949357151680 is a wasteful number, since it uses less digits than its factorization.

194949357151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 194949357151680 in words is "one hundred ninety-four trillion, nine hundred forty-nine billion, three hundred fifty-seven million, one hundred fifty-one thousand, six hundred eighty".