34101355311552 has 56 divisors (see below), whose sum is σ = 90229941561600. Its totient is φ = 11366685181696.

The previous prime is 34101355311503. The next prime is 34101355311659. The reversal of 34101355311552 is 25511355310143.

It is a self number, because there is not a number n which added to its sum of digits gives 34101355311552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1685449 + ... + 8428727.

Almost surely, 2^{34101355311552} is an apocalyptic number.

34101355311552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34101355311552 is an abundant number, since it is smaller than the sum of its proper divisors (56128586250048).

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

34101355311552 is a wasteful number, since it uses less digits than its factorization.

34101355311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769633 (or 6769623 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 34101355311552 in words is "thirty-four trillion, one hundred one billion, three hundred fifty-five million, three hundred eleven thousand, five hundred fifty-two".