345401136873 has 64 divisors (see below), whose sum is σ = 563050414080. Its totient is φ = 207936673344.

The previous prime is 345401136791. The next prime is 345401136881. The reversal of 345401136873 is 378631104543.

345401136873 is a `hidden beast` number, since 3 + 4 + 540 + 1 + 1 + 36 + 8 + 73 = 666.

It is not a de Polignac number, because 345401136873 - 2¹⁷ = 345401005801 is a prime.

It is a super-3 number, since 3×345401136873³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345401136473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55146340 + ... + 55152602.

It is an arithmetic number, because the mean of its divisors is an integer number (8797662720).

Almost surely, 2^345401136873 is an apocalyptic number.

It is an amenable number.

345401136873 is a deficient number, since it is larger than the sum of its proper divisors (217649277207).

345401136873 is a wasteful number, since it uses less digits than its factorization.

345401136873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 345401136873 in words is "three hundred forty-five billion, four hundred one million, one hundred thirty-six thousand, eight hundred seventy-three".