34642073142656 has 128 divisors (see below), whose sum is σ = 81615781440000. Its totient is φ = 14637494376960.

The previous prime is 34642073142643. The next prime is 34642073142673. The reversal of 34642073142656 is 65624137024643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34642073142656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34642073142598 and 34642073142607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439446 + ... + 8673813.

It is an arithmetic number, because the mean of its divisors is an integer number (637623292500).

Almost surely, 2^{34642073142656} is an apocalyptic number.

It is an amenable number.

34642073142656 is an abundant number, since it is smaller than the sum of its proper divisors (46973708297344).

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

34642073142656 is an equidigital number, since it uses as much as digits as its factorization.

34642073142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11113365 (or 11113339 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 53.

The spelling of 34642073142656 in words is "thirty-four trillion, six hundred forty-two billion, seventy-three million, one hundred forty-two thousand, six hundred fifty-six".