34653144135645 has 48 divisors (see below), whose sum is σ = 68648582975232. Its totient is φ = 15840893952000.

The previous prime is 34653144135629. The next prime is 34653144135667. The reversal of 34653144135645 is 54653144135643.

34653144135645 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 31 + 4 + 41 + 3 + 564 + 5 = 666.

It is not a de Polignac number, because 34653144135645 - 2⁴ = 34653144135629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34653144135591 and 34653144135600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7383645 + ... + 11127645.

It is an arithmetic number, because the mean of its divisors is an integer number (1430178811984).

Almost surely, 2^{34653144135645} is an apocalyptic number.

34653144135645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34653144135645 is a deficient number, since it is larger than the sum of its proper divisors (33995438839587).

34653144135645 is a wasteful number, since it uses less digits than its factorization.

34653144135645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773402 (or 3773399 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 34653144135645 in words is "thirty-four trillion, six hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, six hundred forty-five".