354197070144 has 168 divisors, whose sum is σ = 1026283789440. Its totient is φ = 116784986112.

The previous prime is 354197070137. The next prime is 354197070151. The reversal of 354197070144 is 441070791453.

It is a happy number.

354197070144 is a `hidden beast` number, since 3 + 541 + 97 + 0 + 7 + 0 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (354197070137) and next prime (354197070151).

It is a super-3 number, since 3×354197070144³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354197070144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44309412 + ... + 44317404.

It is an arithmetic number, because the mean of its divisors is an integer number (6108832080).

Almost surely, 2^354197070144 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 354197070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513141894720).

354197070144 is an abundant number, since it is smaller than the sum of its proper divisors (672086719296).

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

354197070144 is a wasteful number, since it uses less digits than its factorization.

354197070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 354197070144 in words is "three hundred fifty-four billion, one hundred ninety-seven million, seventy thousand, one hundred forty-four".