354210101145 has 128 divisors (see below), whose sum is σ = 658142392320. Its totient is φ = 180545863680.

The previous prime is 354210101131. The next prime is 354210101173. The reversal of 354210101145 is 541101012453.

354210101145 is a `hidden beast` number, since 3 + 542 + 1 + 0 + 1 + 0 + 114 + 5 = 666.

It is not a de Polignac number, because 354210101145 - 2⁴ = 354210101129 is a prime.

It is a super-3 number, since 3×354210101145³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 148018069 + ... + 148020461.

It is an arithmetic number, because the mean of its divisors is an integer number (5141737440).

Almost surely, 2^354210101145 is an apocalyptic number.

It is an amenable number.

354210101145 is a deficient number, since it is larger than the sum of its proper divisors (303932291175).

354210101145 is a wasteful number, since it uses less digits than its factorization.

354210101145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 354210101145 its reverse (541101012453), we get a palindrome (895311113598).

The spelling of 354210101145 in words is "three hundred fifty-four billion, two hundred ten million, one hundred one thousand, one hundred forty-five".