354195987156 has 288 divisors, whose sum is σ = 1072233542016. Its totient is φ = 97360896000.

The previous prime is 354195987137. The next prime is 354195987169. The reversal of 354195987156 is 651789591453.

354195987156 is a `hidden beast` number, since 3 + 541 + 9 + 5 + 9 + 87 + 1 + 5 + 6 = 666.

It is a super-3 number, since 3×354195987156³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354195987093 and 354195987102.

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 95 ways as a sum of consecutive naturals, for example, 22901266 + ... + 22916726.

It is an arithmetic number, because the mean of its divisors is an integer number (3723033132).

Almost surely, 2^354195987156 is an apocalyptic number.

354195987156 is a gapful number since it is divisible by the number (36) 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 354195987156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536116771008).

354195987156 is an abundant number, since it is smaller than the sum of its proper divisors (718037554860).

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

354195987156 is a wasteful number, since it uses less digits than its factorization.

354195987156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15618 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 354195987156 in words is "three hundred fifty-four billion, one hundred ninety-five million, nine hundred eighty-seven thousand, one hundred fifty-six".