34540141545 has 96 divisors (see below), whose sum is σ = 73843660800. Its totient is φ = 14543926272.

The previous prime is 34540141513. The next prime is 34540141549. The reversal of 34540141545 is 54514104543.

34540141545 is a `hidden beast` number, since 34 + 5 + 40 + 1 + 41 + 545 = 666.

It is not a de Polignac number, because 34540141545 - 2⁵ = 34540141513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34540141549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952701 + ... + 1970309.

It is an arithmetic number, because the mean of its divisors is an integer number (769204800).

Almost surely, 2^34540141545 is an apocalyptic number.

34540141545 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34540141545 is an abundant number, since it is smaller than the sum of its proper divisors (39303519255).

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

34540141545 is a wasteful number, since it uses less digits than its factorization.

34540141545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18119 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 34540141545 in words is "thirty-four billion, five hundred forty million, one hundred forty-one thousand, five hundred forty-five".