354544104125144 has 128 divisors (see below), whose sum is σ = 716547529152000. Its totient is φ = 164122027238400.

The previous prime is 354544104125117. The next prime is 354544104125171. The reversal of 354544104125144 is 441521401445453.

It is an interprime number because it is at equal distance from previous prime (354544104125117) and next prime (354544104125171).

It is a super-2 number, since 2×354544104125144² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2976026459 + ... + 2976145589.

It is an arithmetic number, because the mean of its divisors is an integer number (5598027571500).

Almost surely, 2^{354544104125144} is an apocalyptic number.

It is an amenable number.

354544104125144 is an abundant number, since it is smaller than the sum of its proper divisors (362003425026856).

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

354544104125144 is a wasteful number, since it uses less digits than its factorization.

354544104125144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124569 (or 124565 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 47.

The spelling of 354544104125144 in words is "three hundred fifty-four trillion, five hundred forty-four billion, one hundred four million, one hundred twenty-five thousand, one hundred forty-four".