34649333146656 has 72 divisors (see below), whose sum is σ = 101931766716780. Its totient is φ = 11151509515776.

The previous prime is 34649333146621. The next prime is 34649333146657. The reversal of 34649333146656 is 65664133394643.

34649333146656 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 93 + 3 + 31 + 466 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34161453248400 + 487879898256 = 5844780^2 + 698484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 34649333146593 and 34649333146602.

It is not an unprimeable number, because it can be changed into a prime (34649333146657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074305175 + ... + 2074321878.

Almost surely, 2^{34649333146656} is an apocalyptic number.

34649333146656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34649333146656 is an abundant number, since it is smaller than the sum of its proper divisors (67282433570124).

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

34649333146656 is a wasteful number, since it uses less digits than its factorization.

34649333146656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148627098 (or 4148627087 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 63.

The spelling of 34649333146656 in words is "thirty-four trillion, six hundred forty-nine billion, three hundred thirty-three million, one hundred forty-six thousand, six hundred fifty-six".