354090157345 has 64 divisors (see below), whose sum is σ = 469277991936. Its totient is φ = 255393648640.

The previous prime is 354090157331. The next prime is 354090157411. The reversal of 354090157345 is 543751090453.

354090157345 is a nontrivial binomial coefficient, being equal to C(841535, 2).

It is not a de Polignac number, because 354090157345 - 2¹⁹ = 354089633057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354090157295 and 354090157304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98878455 + ... + 98882035.

It is an arithmetic number, because the mean of its divisors is an integer number (7332468624).

Almost surely, 2^354090157345 is an apocalyptic number.

354090157345 is the 841534-th triangular number.

354090157345 is the 280512-nd centered nonagonal number.

It is an amenable number.

354090157345 is a deficient number, since it is larger than the sum of its proper divisors (115187834591).

354090157345 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (354090157344) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4170).

354090157345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170.

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 354090157345 in words is "three hundred fifty-four billion, ninety million, one hundred fifty-seven thousand, three hundred forty-five".